Question 695321
First step is always finding the slope
{{{slope = (y[1]-y[2])/(x[1]-x[2])}}} use this formula
{{{(0-6)/(-7-7)}}}
-6/-14 simplify
3/7 <- this is your slope
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now your going to plug in your slope and one of your points into the Point Slope Form:
{{{(y-y[1])=slope(x-x[1])}}}
{{{(y-6)=(3/7)(x-7)}}} multiply both sides by 7 to get rid of fractions
7y-42=3(x-7)
7y-42=3x-21 add 42 to both sides
7y=3x+21 standard form is ax+by=c so just arrange this around 
{{{3x-7y=-21}}} <- Standard Form
Solve for y to get slope-intercept form
7y=3x+21 divide by 7
{{{y=(3/7)x+3}}} <-Slope-intercept form