Question

Complete the point-slope equation of the line through (3,6) and (5,-8)

Answer 1

y = - 7x + 17

Explanation:

Given, (3,6) and (5,-8)

Equation of a straight line is y = mx + c

Here, y = -8, x = 5 and m = ?

m =
`(Change in Y)/(Change in X)`

m =
`(-8 - 6)/(5 - 3)`

m = - 7

Substituting x, y and m in y = mx + c we get,

- 8 = - 7(5) + c

c = 35 - 8

c = 17

The equation is y = - 7x + 17 (Answer).