Question

What is the equation of the line that passes through the point (2,-4) and has a slope of -2

Answer 1

The answer is

`\huge y = - 2x`

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)`

From the question we have

`y + 4 = - 2(x - 2) \\ y + 4 = - 2x + 4 \\ y = - 2x + 4 - 4`

We have the final answer as

y = -2x

Hope this helps you