Question

Write the equation of the line in slope intercept form

Answer 1

y = -
`(3)/(4)` x + 3

the equation of a line in slope- intercept form is

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

to calculate m use the gradient formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

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

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

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

y = -
`(3)/(4)` x + 3 ← in slope-intercept form

Answer 2

Using Rise/Run, the answer would be y= -3/4x + 3.