Question

A) What is the slope and the y-intercept of the equation?

Answer 1

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + b ( m is the slope and b 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, 0) ← 2 points on the line

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

The y- intercept is where the line crosses the y- axis

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

(b)

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