Question

complete the point-slope equation of the line through
(1,-1) and (5,2)
use exact numbers

y - (-1) =

Answer 1

Answer:

First: info on point-slope form.

• Formula: y - y₁ = m(x - x₁)

We need to find the slope of the line first.

$m = \frac{2 + 1}{5 - 1} = \frac{3}{4}$

Slope: $\frac{3}{4}$

Now we can complete the point-slope equation of the line.

$y - (-1) = \frac{3}{4}(x - 1)\\\\y + 1 = \frac{3}{4}(x - 1)$

*These equations are equivalent.