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if a line has a slope of -2 and a point on the line has coordinates of (3, -5) write an equation for the line in point slope form
Calculate the slope as (difference of y-coordinates) / (difference of x-coordinates).
-5
(-4, 6)
Parallel lines have the same slope. So if you have a line with slope = 2, for example, and another line is parallel to the first line, it will also have slope = 2.
The slope of a line is determined using the coordinates of at least 2 points on the line. If you have 2 points (A, B) and (C, D), the slope of the line can be determined using the formula (B - D) / (A - C) or (D - B) / (C - A) which is essentially the difference of the y-coordinates divided by the difference of the x - coordinates. Alternately, you could think of it as "rise over run", the increase in height (change in y) between the two points over the horizontal distance traveled (change in x).
if a line has a slope of -2 and a point on the line has coordinates of (3, -5) write an equation for the line in point slope form
Calculate the slope as (difference of y-coordinates) / (difference of x-coordinates).
Points: (-14, 3) and (2, -5) Slope: -1/2
Points: (6, -7) and (5, -9) Slope: 2
When the slope is undefined, you know the line has to be vertical. Vertical lines only have an x in their equations. When you have the coordinates (2,4) with a vertical line, the equation for the slope intercept AND standard form would be the same thing: x=2
-5
Two coordinates are needed to work out the slope of the line.
2
Using any two points, calculate the differences in the Y and the X coordinates. Then take the difference between the Y and divide it by the difference in the X. Example: Points (1,3) and (4,9) are on a line. Determine the slope of the line. X coordinates: 1 and 4. 4-1 = 3 Y coordinates: 3 and 9 9-3 = 6 Slope = Y/X = 6/3 = 2 The slope is 2
Slope = (1 - 4)/(3 - 1) = -3/2 = -1.5
Points: (-1, 2) and (3, 3) Slope: 1/4