Question

Write an equation for a line that passes through (3, -4) & has a slope of -3.

Answer 1

The answer is

`\huge y = - 3x + 5`

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 = - 3(x - 3) \\ y + 4 = - 3x + 9 \\ y = - 3x + 9 - 4`

We have the final answer as

`y = - 3x + 5`

Hope this helps you