Question

Write the equation of a line in slope-intercept form whose slope is -3 and passes through the point (-2,5).

Answer 1

`\huge y = - 3x - 1`

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 - 5 = - 3(x + 2) \\ y - 5 = - 3x - 6 \\ y = - 3x - 6 + 5`

We have the final answer as

`y = - 3x - 1`

Hope this helps you