Write a linear equation in slope intercept form with a slope of -5 and passes through the point (-1,-8)

Hello!

To find the linear equation written in slope-intercept form, we need to recall the slope-intercept form equation. That equation is y = mx + b. In this equation, m is the slope and b is the y-intercept.

We are given the slope, which is -5, and a point on the given graph, which is (-1, -8). So, we can substitute m = -5 into the equation, and the ordered pair, which allows you to solve for b.

y = mx + b (substitute m = -5, and (-1, -8))

-8 = -5(-1) + b (multiply)

-8 = 5 + b (subtract 5 from both sides)

-13 = b | The y-intercept is -13.

Therefore, the linear equation is y = -5x - 13.