Question

The slope-intercept form of a linear equation is y = mx + b, where x and y are coordinates of an ordered pair, m is the slope of the line, and b is where the line crosses the y-axis.

Which is an equivalent equation solved for the slope, m?

Answer 1

`m=((y-b))/(x)`

Explanation:

we know that

The equation of the line into slope-intercept form is equal to

`y=mx+b`

where

m is the slope

b is the y-coordinate of the y-intercept

In this problem we need to solve for m

so

Subtract
`b` both sides

`y-b=mx+b-b`

`y-b=mx`

Divide by
`x` both sides

`(y-b)/x=mx/x`

`m=((y-b))/(x)`

Answer 2

`y = mx + b \\ y - b = mx \\ (y - b)/(x) = m`