Question

A linear function contains the following points. x 0 2 y -3 4. What are the slope and y-intercept of this function? HELP PLEASE HURRY​

Answer 1

slope m =
`(7)/(2)` , y- intercept = - 3

Explanation:

calculate the slope m, using the slope formula

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

let (x₁, y₁ ) = (0, - 3 ) and (x₂, y₂ ) = (2, 4) ← 2 ordered pairs from the table

substitute these values into the formula for m

m =
`(4-(-3))/(2-0)` =
`(4+3)/(2)` =
`(7)/(2)`

the line crosses the y- axis at (0, - 3 ) , then y- intercept = - 3