Question

Write an equation of the line that passes through

the given point and has the given slope.
(1/2,4),m = -8

Answer 1

The answer is

y = - 8x + 8

Explanation:

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

`y - y _(1) = m(x - x _1)`

where

m is the slope

( x1 , y1) is the point

From the question the point is

(1/2,4) and slope m = -8

The equation of the line is

`y - 4 = - 8(x - (1)/(2) ) \\ y - 4 = - 8x + 4 \\ y = - 8x + 4 + 4`

We have the final answer as

y = - 8x + 8

Hope this helps you