Point Slope Formula: What would be the new equation?

Question

This is what I have so far

Slope: 3/4 (1,-8)

Y+8=3/4(x-1)

Answer 1

Looks like you did everything correctly.

Point slope form requires a slope, m, and a point, (x₁,y₁). They provide us with both!

The equation of a line in point slope form is: y - y₁ = m(x - x₁)

Substituting m = 3/4 and the point (1,-8) into the format, we have what you wrote:

y - (-8) = 3/4(x - 1) which we simplify to y + 8 = 3/4(x - 1).

The only alternative to the question is that maybe they are asking for the final answer in slope-intercept form in which case we could simplify further and solve for x.

Distribute the 3/4:

y + 8 = 3/4x - 3/4

Then subtract 8 from both sides

y = 3/4x - 35/4

or with decimals

y = .75x - 8.75