Question

Write in slope-intercept form an equation of a line that passes through the point (-2, 7) and m= -4.

Answer 1

y = -4x - 1

Explanation:

We are given the slope and a point.

Point Slope is :

`y-y_1=m(x-x_1)`

Replace the variables with the appropriate values:

`y-y_1=m(x-x_1) \rightarrow\boxed{y-7=-4(x+2)}`

Convert to slope-intercept form:

`y-7=-4(x+2)\\\\y-7=-4x-8\\\\y-7+7=-4x-8+7\\\\\boxed{y=-4x-1}`

Hope this helps!