Question

What is the equation of the line that has a slope of -2 and passes through the point (-1, 2)?

y = -2x − 4
y = -2x
y = -2x + 4
None of these choices are correct.

Answer 1

The answer is

`y = 2x`

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 the point is (-1 , 2) and the slope is - 2

The equation of the line is

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

We have the final answer as

`y = 2x`

Hope this helps you