Question

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

slope =
y-intercept =
b) Write the equation for the line in the form y = mx + b
y =

Answer 1

see explanation

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 =
`(y_(2)-y_(1) )/(x_(2)-x_(1) )`

with (x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (4, 0) ← 2 points on the line

m =
`(0-3)/(4-0)` =
`(-3)/(4)` = -
`(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 = -
`(3)/(4)` x + 3 ← equation of line