Question

Find the slope and y-intercept of 8x - 2y = 4. Give your answers in fractions if required.m=b=

Answer 1

m = 4

b = -2

Explanation

Given the expression:

`8x-2y=4`

Isolating y:

`\begin{gathered} 8x-2y-8x=4-8x \\ -2y=-8x+4 \\ (-2y)/(-2)=(-8x+4)/(-2) \\ y=(-8x)/(-2)+(4)/(-2) \\ y=4x-2 \end{gathered}`

This equation has the form:

`y=mx+b`

where m is the slope and b is the y-intercept of the line.

By comparing:

`\begin{gathered} m=4 \\ b=-2 \end{gathered}`