Find the value of y so that the line passing through (2, 6) and (1, y) has a slope of 5.

Answer 1

(6-y)/(2-1) = 5

6-y = 5

y= 6-5 = 1

y = 1

(2,6) and (1, 1) have a line through them with slope =5

slope = rise over run=change in y over change in x

= (6-1)/(2-1) = 5

y= 5x + b find b by plugging in either point

6= 5(2) + b

b = 6-10 = -4

b =-4

y = 5x -4 is the equation of the line through the two points with slope = 5