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Are the lines With the equations y2 x-1 and y-2x 1 perpendicular?
Wiki User
∙ 7y ago
Without any equality signs the given terms can't be considered to be equations.
Wiki User
∙ 7y ago
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How do you find linear equations with just coordinates?
if we take the (x1,y1),(x2,y2) as coordinates the formula was (x-x1)/(x2-x1)=(y-y1)/(y2-y1)
How do you do equations and graphs for slope?
The equation for the slope between the points A = (x1, y1) and B = (x2, y2) = (y2 - y1)/(x2 - x1), provided x1 is different from x2. If x1 and x2 are the same then the slope is not defined.
How can you tell if something is perpendicular?
In a graph, you first must find the slopes of both lines using the rise over run method or by using the x2-x1 over y2-y1 method known as slope formula. The lines will be perpendicular if the slope of one line is opposite reciprocal of the other. the opposite reciprocal of 1/2 is -2
How can you use algebra for perpendicular lines?
Using algebra to determine if two lines are perpendicular to one another we first must determine each line's slope. Select two known points on each line to determine the slope for the line. The Point-slope form of a linear equation is (Y1-Y2) = m(X1-X2). Therefore The slope m = (Y1-Y2)/(X1-X2) We will use these points to generate the slope equation. Line A Line B Point 1 Point 2 Point 1 Point 2 X1,Y1 X2,Y2 A1,B1 A2,B2 If the product of the slopes of two lines = -1 then the two lines are perpendicular. Using the point slope form above the equation would look like this: [(Y1-Y2)/(X1-X2)] X [(A1-A2)/(B1-B2)] = m(line A) X m(line B) Example Line A Line B Point 1 Point 2 Point 1 Point 2 0,0 3,3 3,-3 0,0 Using the above formula [(0-3)/(0-3)] X [(3-0)/(-3-0)] = [-3/-3] X [3/-3] = 1 x -1 = -1 These two lines are perpendicular.
Linear equations in point slope form?
Point-slope form is written as: y-y1=m(x-x1), where (x1, y1) is a point on the line and m is the slope (hence the name, point-slope form).
How do you find linear equations with just coordinates?
if we take the (x1,y1),(x2,y2) as coordinates the formula was (x-x1)/(x2-x1)=(y-y1)/(y2-y1)
How do you do equations and graphs for slope?
The equation for the slope between the points A = (x1, y1) and B = (x2, y2) = (y2 - y1)/(x2 - x1), provided x1 is different from x2. If x1 and x2 are the same then the slope is not defined.
How can you tell if something is perpendicular?
In a graph, you first must find the slopes of both lines using the rise over run method or by using the x2-x1 over y2-y1 method known as slope formula. The lines will be perpendicular if the slope of one line is opposite reciprocal of the other. the opposite reciprocal of 1/2 is -2
How can you use algebra for perpendicular lines?
Using algebra to determine if two lines are perpendicular to one another we first must determine each line's slope. Select two known points on each line to determine the slope for the line. The Point-slope form of a linear equation is (Y1-Y2) = m(X1-X2). Therefore The slope m = (Y1-Y2)/(X1-X2) We will use these points to generate the slope equation. Line A Line B Point 1 Point 2 Point 1 Point 2 X1,Y1 X2,Y2 A1,B1 A2,B2 If the product of the slopes of two lines = -1 then the two lines are perpendicular. Using the point slope form above the equation would look like this: [(Y1-Y2)/(X1-X2)] X [(A1-A2)/(B1-B2)] = m(line A) X m(line B) Example Line A Line B Point 1 Point 2 Point 1 Point 2 0,0 3,3 3,-3 0,0 Using the above formula [(0-3)/(0-3)] X [(3-0)/(-3-0)] = [-3/-3] X [3/-3] = 1 x -1 = -1 These two lines are perpendicular.
How do you find the intersection of two 3d lines on a 3d plane?
You need to more precise in your question. There is no guarantee two lines interection in 3-d space. If they do intersect, they must lie in the same plane. And that plane would only need to be 2-D, aside from the trivial case where the lines are the same. If the two lines do intersect then x value for the two lines will be equal, as well as the y value & z value, in the equations of the two lines. Using parametric equations, If line1 is given by: x = x1 + a*t, y = y1 + b*t, and z = z1 + c*t; and line 2 is: x = x2 + d*s, y = y2 + e*s, and z = z2 + f*s, where x1,y1,z1 & x2,y2,z2 are starting points [a,b,c] & [d,e,f] are direction vectors, and s & t are the parameters. Since the x values must be equal, set x1+a*t = x2+d*s, and y1+b*t = y2+e*s, then you have two equations and two unknowns. Solve for t and s, then substitute into the z equations to find the z coordinate (they will both come up with the same z-value if indeed the lines do intersect). Even if both equations use 't' as the parameter, you need to treat them as two independent variables(so change one of them to s), since the lines could be changing differently as the parameter variable changes.
Linear equations in point slope form?
Point-slope form is written as: y-y1=m(x-x1), where (x1, y1) is a point on the line and m is the slope (hence the name, point-slope form).
What is the difference between Regula-falsi method and secant method?
Regula-Falsi Method evaluates using assumed variables like "a", "b", f(a), f(b) Secant Method Directly works with x1, x2, f(x1), f(x2) Difference is in the Assignment pattern only, otherwise both are used to find root of Non-Linear equations using the same procedure which is: x1= [a * f(b) - b * f(a)]/[f(b)-f(a)] x1= [x0 * f(x1) - x1 * f(x0)]/[f(x1)-f(x0)] Thank You :-)
What is the equation of a line perpendicular to y equals negative three x plus four that passes through -1 6?
You solve this type of problem using the following steps. 1) Write your original equation in slope-intercept form, that is, solved for "y". (The line is already in that form in this case). You can read off the slope directly: in an equation of the form: y = mx + b m is the slope. 2) Calculate the slope of the perpendicular line. Since the product of the slopes of perpendicular lines is -1, you can divide -1 by the slope you got in part (1). 3) Use the generic equation y - y1 = m(x - x1), for a line that has a given slope "m" and passes through point (x1, y1). Replace the given coordinates (variables x1 and y1). Simplify the resulting equation, if required.
How to find the equation of a line?
Equation of a line may be written as y = mx + c. m is called the slope of the line. c is the point where the line crosses the y axis. If two points are given: (x1, y1) and (x2, y2), m is calculated as the y difference divided by the x difference: m = (y2 - y1) / (x2 - x1) Once you find m, you can find c by putting in the values into the equation y=mx+c. For example, if you use (x1, y1), you can do this: y1 = m*x1 + c take m*x1 to the other side: y1 - m*x1 = c Then you get the value of c. Now you have both m and c, so you can write the equation of the line: y = mx + c Put the values of m and c in. Leave y and x as it is. a.net/math_problems/equations-of-lines-problems-with-solutions.html
What are the Pokemon types of the elite 4 in Pokemon pearl?
Aaron Poison/Bug x1 Bug/Fighting x1 Bug/Flying x2 Poison/Dark x1 Bertha Water/Ground x2 Ground x1 Rock x1 Rock/Ground x1 Flint Fire x1 Fire/Fighting x1 Steel/Ground x1 Normal x1 Ghost/Flying x1 Lucian Psychic x2 Normal/Psychic x1 Fight/Psychic x1 Steel/Psychic x1 Cynthia Ghost/Dark x1 Dragon/Ground x1 Water/Ground x1 Water x1 Grass/Poison x1 Steel/Fighting x1
What are the equations for a lines with the points of -2 and-4 and 4 and-1?
Assuming you want the equation of a straight line through (-2, -4) and (4, -1): y - y0 = m(x - x0) where m = (y1 - yo) ÷ (x1 - x0) ⇒ y - (-4) = (-1 - (-4))/(4 - (-2))(x - (-2)) ⇒ y + 4 = 3/6 (x + 2) ⇒ y = x/2 - 3 or 2y = x - 6 Equations of higher order (eq quadratics) have infinitely many equations.
What Explicit equations for the nth term of some kind of arithmetic sequence?
xn=x1+(n-1)v^t and Pn=P1+(n-1)iP1
