How do you write the equation of a line with m=5/6 and (7,-2)?

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Answer 1 · 2016-12-26T09:47:20

The equation is $y-y_1=m(x-x_1)$ . Solve for $y$ .

Use the point slope formula, $y-y_1=m(x-x_1)$ , where $m$ is the slope, $5/6$ , $x_1$ and $y_1$ are the point $(7,-2)$ .

Substitute the known values into the equation.

$y-(-2)=5/6(x-7)$

Simplify.

$y+2=5/6x-35/6$

Subtract $2$ from both sides.

$y=5/6x-35/6-2$

Convert $2$ into a fraction that has a denominator of $6$ .

$y=5/6x-35/6-(2/1xx6/6)$

Simplify,

$y=5/6x-35/6-12/6$

Simplify,

$y=5/6x-47/6$