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Find the slope of the line passing through the points -3 and -1 and -1 and 5?
The slope of a line is defined as the change in y divided by the change in x. In this problem you are given two points (-3, -1) and (-1, 5). Remember that the coordinates of a point are given in this form (x, y). To calculate the change in y we need to find the difference between the two. - 1 - 5 = -6 (The change in y is -6) Now to find the change in x we again take the difference. - 3 - (-1) = -3 + 1 = -2 (The change in x is -2) So if slope is change in y divided by change in x and we know the change in y is -6 and the change in x is -2 then: Slope = -6/-2 = 3
What is the formula to calculate the slope of the line?
To find the slope of any line y = f(x) differentiate with respect to x: slope = dy/dx; the slope at any point can then be found by substituting the value of the x coordinate of that point. If you mean how to find the slope of a straight line: slope = change_in_y/change_in_x Taking any two points on the line (x0, y0) and (x1, y1) this becomes: slope = (y_of_first_point - y_of_second_point)/(x_of_first_point - x_of_second_point) → slope = (y1 - y0)/(x1 - x0) As it doesn't matter which is chosen as the first point, the slope can also be written as: slope = (y0 - y1)/(x0 - x1)
If AB is parallel to CD and the slope of CD is one over two what is the slope of AB?
The slope of line AB will be 1/2. Two parallel lines will always have the same slope, so if you know the slope of one line that is parallel to another, you know the other line's slope.
How can you know if the points is collinear points or non collinear points?
It depends on the context in which the question is asked: whether it is basic geometry, coordinate geometry or vector algebra. If you can draw a single straight line through a set of points they are collinear; if you cannot then they are not.
What if suppose you know the slope of a linear relationship and a point that its graph passes through . Can you graph the line even if the point provided does not represent the y-intercept Explain.?
yes you can graph it. The equation is y = mx + b where m is slope and b is y intercept. Simply plug in x,y, and m and solve for b. The y intercept is at x = 0 and y = b so you can draw the graph between this point and the given point
What is the slope of a line that decreases from left to right?
We know that its slope is negative, but without an equation or some points the line passes through we can't determine the actual value of the slope.
How do you Graph a line with a slope passing through the point 4-3?
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Fact must be known to determine the average slope between the two points?
The distance between two points must be known to determine the average slope between the two points. You must also know the change in elevation.
Find the value of k so that the line through the given points has slope m 2k 3 1 k m 2?
If the two points are (2k, 3) and (1, k) with a slope of 2, then k is equal to 1. This is because slope is rise over run, meaning the differences of y over the differences of x. If you have (2,3) and (1,1), then the difference of the y-coordinates is 2, and the difference of the x-coordinates is 1. Seeing as 2/1 is equal to 2, you know that k=1 works. k=1
How do you write an equation in slope intercept form with a given point?
Slope Intercept form is meant for a line, so if you know the slope m in the equation y=mx+b then with a given point say (3,4) and say the slope of the line was 2 then the equation would read y=2x+4.
Find the slope of the line passing through the points -3 and -1 and -1 and 5?
The slope of a line is defined as the change in y divided by the change in x. In this problem you are given two points (-3, -1) and (-1, 5). Remember that the coordinates of a point are given in this form (x, y). To calculate the change in y we need to find the difference between the two. - 1 - 5 = -6 (The change in y is -6) Now to find the change in x we again take the difference. - 3 - (-1) = -3 + 1 = -2 (The change in x is -2) So if slope is change in y divided by change in x and we know the change in y is -6 and the change in x is -2 then: Slope = -6/-2 = 3
What is the slope intercept form of the line that has a slope of negative 3 and contains the points of 4 and negative 5?
The slope intercept form is: y=mx+b where m is the slope and b is the y-intercept. Since you already know the slope, you can plug that into the equation. y=-3x+b The only thing left to do is to find out what b is. To do this, plug the x and y value of the point it goes through into the equation and solve for b. Good luck.
In addition to the distance between two points what other fact must be known to determine the average slope between the two points?
It is not necessary to know the distance between two points to determine the average slope. You just need to know the x and y coordinates of each point. The slope is defined as 'rise' divided by 'run' or the difference of the y's / difference of the x's. So if, Point 1 is (x1,y1) and point 2 is (x2,y2) then the slope would be: (y2 - y1) / (x2 - x1)
How can you write the equation for a linear function if you know only two ordered pairs for the functionDrag tiles to complete the explanation.?
the Equation of a Line Given That You Know Two Points it Passes Through.
Find equation perpendicular to given line contain given point?
If you know the slope of the line that your equation is perpendicular too, you find the negative reciprocal of it and use it as the slope for the line. (negative reciprocal = flip the slope over and change its sign. Ex: a slope of 2 has a negative reciprocal of -1/2. ) Then you use the given point, and put your equation in point-slope form. The general equation for point slope form is Y-y1=m(x-x1) The y1 is the y coordinate of the given point. X1 is the x coordinate of the given point. M is the slope that you found earlier. You now have your equation. If you are asked to put it in slope intercept form, simply distribute the numbers and solve the equation for y.
Whats the equation for slope?
If the algebraic equation is linear, in the form y = mx + b, the slope is simply m; the difference in y of any 2 points divided by the difference in x of those points (rise over run). If the equation is non-linear, the slope is the first derivative of that equation, from calculus. You woul need to know calculus to solve in this case. The slope will vary from point to point, unlike the linear case, where slope is constant.
How do you know the slope?
You know your slope by finding two points on a line P1(x, y) and P2(x, y) and use the following equation:m = (y2 - y1)/(x2 - x1).'m is the sloporput the line in the form y = mx + C, where m is the slope and C is the y-intersection length
