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Can u help me write the slope intercept form of the equation of the line through the given point with the given slope? (9,-1) m=4/3

1 Answer

Jun 26, 2018

Absolutely! The equation you're looking for is $y = \frac{4}{3} x - 13$ $y=4/3x-13$ .

Explanation:

Remember that, for slope-intercept form, the formula is

$y = m x + b$ $y=mx+b$

We know everything except $b$ $b$ ( $m = \frac{4}{3}$ $m=4/3$ , $x = 9$ $x=9$ , and $y = - 1$ $y=-1$ ), so let's solve for that:

$- 1 = \frac{4}{3} (9) + b$ $-1=4/3(9)+b$
$- 1 = \frac{36}{3} + b$ $-1=36/3+b$
$- 1 = 12 + b$ $-1=12+b$
$- 13 = b$ $-13=b$

Our final equation is $y = \frac{4}{3} x - 13$ $y=4/3x-13$ .

Hope this helped!!

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