Question

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

Answer 1

Answer

m = 4

b = -2

Step-by-step explanation

Given the expression:

$8x-2y=4$

Isolating y:

$\begin{gathered} 8x-2y-8x=4-8x \\ -2y=-8x+4 \\ \frac{-2y}{-2}=\frac{-8x+4}{-2} \\ y=\frac{-8x}{-2}+\frac{4}{-2} \\ y=4x-2 \end{gathered}$

This equation has the form:

$y=mx+b$

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

By comparing:

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