Find the slope-intercept form of the equation of the line that has the given slope m and passes through the given point. m = 8, (0, −4)

Question

This is a solution to a slope-intercept word problem that can look scary at first.

Answer 1

y = mx + b

We know a value for everything but b.

-4 = 8(0) + b

so b = -4

y = 8x - 4

Answer 2

8 = (y- -4)/(x -0) = slope = the difference in y value divided by the corresponding difference in x values

8=(y+4)/x

multiply both sides by x

y+4 = 8x

y = 8x -4 is the equation in slope intercept form, slope = 8, intercept =-4