Question

Write the SLOPE-INTERCEPT FORM equation given a slope of -1/2 and the point (6,-1).

Answer 1

The answer is

`y = - (1)/(2) x + 2`

Explanation:

To find an equation of a line when 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 the point is (6 , - 1) and slope - 1/2

So we have

`y + 1 = - (1)/(2) (x - 6) \\ y + 1 = - (1)/(2) x + 3 \\ y = - (1)/(2) x + 3 - 1 \\`

We have the final answer as

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

Hope this helps you