Question

Write an equation that represents the line. Use exact numbers. _________

Answer 1

Answer:

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

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, - 1) and (x₂, y₂ ) = (3, - 5) ← 2 points on the line

m = $\frac{-5+1}{3-0}$ = - $\frac{4}{3}$

Note the line crosses the y- axis at (0, - 1) ⇒ c = - 1

y = - $\frac{4}{3}$ x - 1 ← equation of line