How do you find the slope and y-intercept of 2x-3y=12?

Question

How do you find the slope and y-intercept of 2x-3y=12?

1 Answer

Impact of this question

3032 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-04-21T09:52:35

$slope = \frac{2}{3}, y-intercept = - 4$ $"slope "=2/3," y-intercept "=-4$

Explanation:

$the equation of a line in slope-intercept form$ $"the equation of a line in "color(blue)"slope-intercept form"$ is.

$∙ x y = m x + b$ $•color(white)(x)y=mx+b$

$where m is the slope and b the y-intercept$ $"where m is the slope and b the y-intercept"$

$rearrange 2 x - 3 y = 12 into this form$ $"rearrange "2x-3y=12" into this form"$

$subtract 2x from both sides$ $"subtract 2x from both sides"$

$\Rightarrow - 3 y = - 2 x + 12$ $rArr-3y=-2x+12$

$divide all terms by - 3$ $"divide all terms by "-3$

$\Rightarrow y = \frac{2}{3} x - 4 \leftarrow in slope-intercept form$ $rArry=2/3x-4larrcolor(blue)"in slope-intercept form"$

$with slope = \frac{2}{3} and y-intercept = - 4$ $"with slope "=2/3" and y-intercept "=-4$

Science

Math

Humanities

... and beyond

How do you find the slope and y-intercept of 2x-3y=12?

1 Answer

Explanation:

Related questions

Impact of this question