Question

Out the following equation in the slope-intercept form by solving the equation for y. Fill in blank one

Answer 1

Given: The equation below

`6x-2y=12`

To Determine: The slope-intercept form of the equation

Solution:

The slope-intercept form of a linear equation is given as

`\begin{gathered} y=mx+c \\ Where \\ m=slope \\ c=intercept \end{gathered}`

From the given equation, make y the subject

`\begin{gathered} 6x-2y=12 \\ 6x-12=2y \\ 2y=6x-12 \\ Divide\text{ through by 2} \\ (2y)/(2)=(6x)/(2)-(12)/(2) \\ y=3x-6 \\ slope=3 \\ intercept=-6 \end{gathered}`

Hence, the slope-intercept form of the given equation is

y = 3x - 6