Point slope form

Question

Write the​ point-slope form of the​ line's equation satisfying the given conditions. Then use the​ point-slope form of the equation to write the​ slope-intercept form of the equation. Passing through ​(​-3,8​) and ​(​4,8​)



Answer 1

Because we have two points on the line, we can determine the slope between them:

m = (y₂-y₁)/(x₂-x₁) = (8-8)/(4-(-3)) = 0.

Intuitively, this means the line is horizontal. But we'll arrive at the same result with the equation for point-slope form:

y - y₀ = m(x-x₀)

y - 8 = 0

y = 8.

This equation for the line could function as either point-slope or slope-intercept because the slope itself is zero.