Question

Write the linear equation in slope-intercept form of -1/5x+y=12

a. y=1/5x-12
b. y = 5x + 12
c. x=5y-12/5
d. y=1/5x+12

Answer 1

`\textsf{d.} \quad y=(1)/(5)x+12`

Explanation:

`\boxed{\begin{minipage}{6.3 cm}\underline{Slope-intercept form of a linear equation}\\\\$y=mx+b$\\\\where:\\ \phantom{ww}$\bullet$ $m$ is the slope. \\ \phantom{ww}$\bullet$ $b$ is the $y$-intercept.\\\end{minipage}}`

Given equation:

`-(1)/(5)x+y=12`

Rearrange to make y the subject.

Add ¹/₅x to both sides of the equation:

`\implies -(1)/(5)x+y+(1)/(5)x=12+(1)/(5)x`

`\implies y=12+(1)/(5)x`

Rearrange to slope-intercept form:

`\implies y=(1)/(5)x+12`

Answer 2

Answer: Choice D)
`y = (1)/(5)\text{x}+12\\\\`

Work Shown:

`-(1)/(5)\text{x}+y = 12\\\\y = 12+(1)/(5)\text{x}\\\\y = (1)/(5)\text{x}+12\\\\`

It fits the slope-intercept form y = mx+b

• m = slope = 1/5
• b = y-intercept = 12