Question

Pls help????? –2x = –20y + 18

Answer 1

y = 1/10x + 9/10

Explanation:

Find slope intercept form: –2x = –20y + 18

slope intercept form: y = mx + b

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–2x = –20y + 18

add 20y to both sides:

–2x + 20y = –20y + 18 + 20y

–2x + 20y = 18

add 2x to both sides:

–2x + 20y + 2x = 18 + 2x

20y = 18 + 2x

divide all terms by 20:

20y/20 = 18/20 + 2x/20

y = 9/10 + 1/10x

reorder terms for slope intercept form:

y = 1/10x + 9/10

Answer 2

`y=(1)/(10)x+(9)/(10)`

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:

`-2x=-20y+18`

To write the given equation in slope-intercept form, make y the subject.

Add 20y to both sides:

`\implies 20y-2x=-20y+18+20y`

`\implies 20y-2x=18`

Add 2x to both sides:

`\implies 20y-2x+2x=2x+18`

`\implies 20y=2x+18`

Divide both sides by 20:

`\implies (20y)/(20)=(2x+18)/(20)`

`\implies (20y)/(20)=(2x)/(20)+(18)/(20)`

`\implies y=(1)/(10)x+(9)/(10)`

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

`\boxed{y=(1)/(10)x+(9)/(10)}`