line (-6,-5),(-4,-4) — step-by-step solution

The slope between the two points is

\frac{y₂ - y₁}{x₂ - x₁}

\frac{- 4 + 5}{- 4 + 6}

⇥ℹ

- 4 + 5

1

‖

- 4 + 6

2

⇥

\frac{1}{2}

The line passes through the first point with this slope:

y = \frac{1}{2} \cdot (x + 6) - 5

⇥ℹ

\frac{1}{2} \cdot (x + 6)

\frac{x + 6}{2}

‖

\frac{x + 6}{2} - 5

\frac{(x + 6) + 2 \cdot (-5)}{2}

⇥

y = \frac{(x + 6) + 2 \cdot (-5)}{2}

⇥

y = \frac{x + 6 - 10}{2}

▶Line:

y = \frac{x - 4}{2}