Answer:
y = 8x - 4
Explanation:
Pre-Solving
We are given that a line has a slope (m) of 8 and passes through the point (0, -4)
We want to write the equation of this line in slope-intercept form.
Slope-intercept form is given as y=mx+b, where m is the slope and b is the value of y at the y intercept, hence the name.
Solving
Because we are given the slope, we can immediately plug that into the equation.
Replace m in y=mx+b with 8.
y = 8x + b
Now, because the line passes through (0, -4), we can use its values to help solve for b.
Substitute x as 0 and y as -4.
-4 = 8(0) + b
Multiply
-4 = 0 + b
-4 = b
Replace -4 as b in the equation.
y = 8x - 4