Question

PLS HELP Find an equation of the line with a y-intercept of -3 and an x-intercept of -4.5

Answer 1

Answer:

y = - $\frac{2}{3}$ x - 3

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 ) = (0, - 3) and (x₂, y₂ ) = (- 4.5, 0 ) ← coordinates of intercepts

m = $\frac{0-(-3)}{-4.5-0}$ = $\frac{0+3}{-4.5-0}$ = $\frac{3}{-4.5}$ = - $\frac{2}{3}$

The line crosses the y- axis at (0, - 3 ) ⇒ c = - 3

y = - $\frac{2}{3}$ x - 3 ← equation of line