Question

Type an equation for the line shown in the graph
Simplify the fraction completely

Answer 1

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

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) )`

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

substitute these values into the formula for m

m =
`(2-(-4))/(4-0)` =
`(2+4)/(4)` =
`(6)/(4)` =
`(3)/(2)`

the line crosses the y- axis at (0, - 4 ), so y- intercept c = - 4

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