Question

5. What is an equation of the line in slope-intercept form?

m=2/7 and the y-intercept is (0, -12)
Oy=2/7x+12
Oy=2/7x-12
Oy=12x-2/7
Oy=12x+2/7

Answer 1

`y=(2)/(7)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:

• slope = ²/₇
• y-intercept = (0, -12)

The y-intercept is the y-value when x = 0.

Substitute the slope and y-intercept into the formula to create the equation of the line in slope-intercept form:

`\implies y=(2)/(7)x-12`