Find the equation of the line in slope-intercept form that passes through the following point with the given slope. Simplify your answer. Point (0, 0); Slope = - 8

Answer 1

Hello! To write an equation in slope-intercept form, we need to use the form: y = mx + b

Based on the question, you were given a slope (m) and a point (x, y). Let’s fill in the information we were given.

m = -8 Point = (0, 0)

y = mx + b

0 = -8(0) + b

Multiply -8 and 0.

0 = 0 + b or just b = 0

Now, let’s rewrite the equation in y = mx + b form using our m and b.

y = -8x + 0 or just y = 8x

It’s worth noting that since we were given (0,0) from the start, you might realize that this is already your b (y-intercept). Remember, a y-intercept is where the line crosses the y-axis and is always in the form (0, #). That would save some time for this particular problem. Please feel free to reach out if you need more assistance. I’d love to help!

Answer 2

Form of y=mx+b

Find b by plugging in point and slope

0=(-8)×0+b

0=0+b

b=0

Plug in

y=-8x+0