A line passes through the point , (−1, 1) and has a slope of −5. Write an equation in slope-intercept form for this line.

y = -5x - 4

Step-by-step explanation:

Slope-intercept form of an equation is y=mx+b. The m is the slope. The given slope is -5 and a point is (-1,1) which is an x (the -1) and a y (the 1) so we can fill these into the equation to find the b value.

In the final answer we'll write y= and then fill in the -5 for the m , write the x and fill in the number that we find for b.

y = mx + b

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

1 = 5 + b Subtract 5

1-5 = 5-5 +b

-4 = b

Now that we know b we can fill it in the equation.

y = -5x - 4

37

step-by-step explanation: