Question

Passes through (3,-8), slope = 3

Answer 1

3x - y - 17 = 0

Explanation:

Equation of line in slope point form is given as:

`y - y_1 = m(x-x_1) \\ \therefore \: y - ( - 8) = 3(x - 3) \\ \therefore \: y + 8 = 3x - 9 \\ \therefore \: 3x - y - 9 - 8 = 0 \\ \huge \red{ \boxed{ \therefore \: 3x - y - 17 = 0}} \\ is \: the \: required \: equation \: of \: line.`

Answer 2

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y=3x-17

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Explanation:

y=mx+b is the formula

m=slope, b=y-intercept.

Slope is given, 3

So y=3x+b

A point is also given, (3,-8) x=3,y=-8

-8=3(3) + b

-8=9+b

-17=b

So the equation is :

y=3x-17

Hope this helps, let me know if you have any questions!