Question

Find the slope and y-intercept of the line plotted with line passing through y=3 x-3​

Answer 1

slope = - 2 , y- intercept = - 1

Explanation:

calculate the slope m using the slope formula

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

let (x₁, y₁ ) = (- 2, 3) and (x₂, y₂ ) = (1, - 3) ← 2 points on the line

substitute these values into the formula for m

m =
`(-3-3)/(1-(-2))` =
`(-6)/(1+2)` =
`(-6)/(3)` = - 2

the y- intercept is the point on the y- axis where the line crosses it

the y- intercept = - 1