Question

What is 6y-3x=-18 written in slope-intercept form?

O y=-2x+3
Oy-x-3
O y=-2x+3
Oy=2x-3

Answer 1

`\textsf{B)}\quad y=(1)/(2)x-3`

Explanation:

Slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.

Therefore, to write the given equation 6y - 3x = -18 in slope-intercept form, rearrange the equation to isolate y:

`\begin{aligned}6y - 3x &= -18\\\\6y - 3x+3x &= -18+3x\\\\6y&=3x-18\\\\(6y)/(6)&=(3x-18)/(6)\\\\y&=(3x)/(6)-(18)/(6)\\\\y&=(1)/(2)x-3\end{aligned}`

Therefore, the given equation written in slope-intercept form is:

`y=(1)/(2)x-3`