Question

What is M and what is C?

Answer 1

m = 5 , c = - 2

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

substitute these values into the formula for m

m =
`(3-(-2))/(1-0)` =
`(3+2)/(1)` =
`(5)/(1)` = 5

the line crosses the y- axis at (0, - 2 ) , so y- intercept c = - 2