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Find the point of intersection of the lines x plus 2y equals 8 and 3x -y equals 3?
x + 2y = 8
3x - y = 3
Need to rearrange first for easier calculation (get y and x on different sides) so...
x + 2y = 8 is the same as 2y = 8 - x is the same as y = 4 - 0.5x
3x - y = 3 is the same as y = 3x - 3
Lines intersect when the functions equal each other
y=y
4 - 0.5x = 3x - 3
7 - 0.5x = 3x
7 = 3.5x
2 = x
put x value into either equation to find y value
y = 3(2) - 3
y = 3
Lines intersect at point (2,3)
What else can I help you with?
What do you find at the intersection of a plane and a line?
another point
What is the point of intersection of the lines y equals 3x plus 4 and y equals 2 -7x when plotted on the Cartesian plane?
I suggest you solve the equations simultaneously. There are several ways to do it; here is one: since y = 3x + 4 and y is also equal to 2 - 7x, that means that the right sides of the two equations are equal. This gives you the equation: 3x + 4 = 2 - 7x Solve that for x. Then, replace the value you find in any of the two original equations to find the corresponding value for y. Another method is to actually plot the lines. However, if the intersection does not happen to be a pair of whole numbers, you can only estimate the value. Plotting is fairly easy since the equations are already in slope-intercept form (i.e., solved for variable "y").
what- A triangle is formed by the intersection of the lines y = 2x + 4, y = -x – 2, and x = 1.Is the triangle equilateral, isosceles, or scalene Graph the lines on grid paper to find the vertices of the triangle?
scalene
Does an octagon have a center point?
Yes, an Octagon does have a center point. The easiest way for me to find this is by drawing lines between opposite vertexes. You should end up with four lines and they should be crossing at one point. That is your center point! :V
How do you find the horizontal asymptote of a logarithmic function where x equals 7.5 and y equals 50?
One point on a logarithmic graph is not sufficient to determine its parameters. It is, therefore, impossible to answer the question.
How do you find the point two lines intercept at given the slopes and Y-intercepts of both lines?
Solve the two equations simultaneously. The solution will be the coordinates of the point of intersection.
What is the common point of these equations x plusy equals 6 x plus y equals 2?
x + y = 6x + y = 2These two equations have no common point (solution).If we graph both equations, we'll find that each one is a straight line.The lines are parallel, and have no intersection point.
How do you find the point of intersection of a parallelogram?
It would help to know "... the point of intersection of a parallelogram" and what!
How do you find intersection points on TI84 calculator?
Graph the two lines or equations you want to find the intersection of. Then adjust the window so that you can see the intersection point. (If you don't know where it is, try pressing ZOOM and choosing ZoomFit.) Then press 2ND CALC (above TRACE) and choose option 5, intersect. Use the up and down arrows to select the first equation you want to find the intersection point on, and press ENTER. Do the same thing for the second equation. The calculator will now say "Guess?". Use the left and right arrows to move the x-like shape as close to the intersection point as possible, then press ENTER. The calculator will tell you the intersection point and the bottom of the screen. If you get a NO SIGN CHNG error, then it might be because the intersection point is not on the screen. Change the window so that you can see the intersection point and try again. Also, make sure that your guess is somewhat close to the intersection point.
What do you find at the intersection of a plane and a line?
another point
What do you find at the intersection of a plane an a line?
Unless the line is a subset of the plane, the intersection is a point.
What are graphing method?
graphing method is when you graph two lines and then find the intersection which is the answer of the system of equations
How do you find where two lines intersect based on an equation?
when the x and y values of both equations are equal, because the point of intersection will only have one x value and one y value
A right triangle in the first quadrant is bounded by lines y equals 0 y equals x and y equals -x plus 5 Find its area?
5
How do you verify that a triangle is isosceles?
The step to verify an isosceles triangle is: 1) Find the intersection points of the lines. 2) Find the distance for each intersection points. 3) If 2 of the distance are the same then it is an isosceles triangle.
How do you find the center of a room?
Assume the room to be square or rectangle. The intersection of two lines from opposite corners is your center.
How do you find the point of intersection between x2 plus y2 equals 5 and x-y equals 1?
x-y = 1 => x = y+1 x2+y2 = 5 => (y+1)(x+1)+y2 = 5 2y2+2y-4 = 0 y = -2 or y = 1 So the points of intersection are: (-1, -2) and (2, 1)
