Question

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Write an equation in slope-intercept form of the line that passes through the given points

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 = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

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

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

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

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