Question 1123965
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With the slope given as 7/5, the equation in slope=intercept form is
{{{y = (7/5)x+b}}}
where b is some constant that we don't care about.<br>
Multiply both sides by 5 to clear fractions:
{{{5y = 7x+c}}}
where again c is some constant we don't care about.<br>
Put the equation in the required form Ax+By=C.  (Note that when this form is called for, the usual expectation is that the coefficient A is positive.)
{{{7x-5y = d}}}
and again the constant d we don't care about.<br>
Complete the problem by evaluating the constant by substituting the given values of x and y for a point on the line.
{{{7(2)-5(-8) = C}}}
{{{14+40 = C}}}
{{{54 = C}}}<br>
Answer: {{{7x-5y=54}}}