Question 168976
The straight-line equation in the slope-intercept 
form is {{{y = mx + b}}}, where
{{{m}}}= slope
{{{b}}}= the y-intercept
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The problem gives
{{{m = 6/7}}}
and the line passes through (6, -3)
If I plug in the value for slope,
{{{y = (6/7)*x + b}}}
Since (6,-3) is a solution for the equation, I can say
{{{-3 = (6/7)*6 + b}}}
Multiply both sides by {{{7}}}
{{{-21 = 36 + 7b}}}
{{{7b = -21 -36}}}
{{{7b = -57}}}
{{{b = -(57/7)}}}
{{{y = (6/7)*x - (57/7)}}}
Multiply both sides by {{{7}}}
{{{7y = 6x - 57}}} answer
check:
Does it pass through (6,-3)?
{{{7*(-3) = 6*6 - 57}}}
{{{-21 = 36 - 57}}}
{{{-21 = -21}}}
OK