Question

Please help !!

1. What is the slope of the line? Explain or show how you got your answer

2. Write a linear equation for the line. Explain how you got your answer

Answer 1

see explanation

Explanation:

(1)

Calculate the slope m using the slope formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

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

m =
`(0-3)/(4-0)` = -
`(3)/(4)`

(2)

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

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

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