Question

What is an equation in point-slope form of the line that passes through the point (8,5) and has slope -7?

Answer 1

The answer is

`y = - 7x + 61`

Explanation:

To find an equation of a line given the slope and a point we use the formula

`y - y_1 = m(x - x_1)`

where

m is the slope

( x1 , y1) is the point

From the question

slope = - 7

the point is (8,5)

The equation is

`y - 5 = - 7(x - 8) \\ y - 5 = - 7x + 56 \\ y = - 7x + 56 + 5`

We have the final answer as

`y = - 7x + 61`

Hope this helps you