Question

Find the value of r so the line that passes through each pair of points has the given slope: 5/6. Pair of points are (5,2) and (-7,r).

Answer 1

r = -8

Explanation:

The slope of a line can be found using the slope formula or

`m=(y_(2)-y_(1) )/(x_(2) -x_(2) )`, where x2 and y2 are any of the two coordinate and x1 and y1 are the other pair of coordinates.

Since we have the slope and three points, we find r by plugging everything in:

`(5)/(6)=(r-2)/(-7-5)\\ (5)/(6)=(r-2)/(-12)\\ -10=r-2\\ -8=r`