Question

Equation?
Slope?
Y-intercept?

Answer 1

see explanation

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

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

m =
`(2-(-3))/(4-0)` =
`(2+3)/(4)` =
`(5)/(4)`

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

y =
`(5)/(4)` - 3 ← equation of line