Question 302040
The formula to use when given 2 points is:
{{{(y - y[2])/(x - x[2]) = (y[1] - y[2])/(x[1] - x[2])}}}
where the given points are:
(x1,y1) and (x2,y2)
It doesn't matter which is which, but I can call
(x1,y1) = (-2,0)
and
(x2,y2) = (7,4)
Putting these into the formula:
{{{(y - 4)/(x - 7) = (0 - 4)/(-2 - 7)}}}
{{{(y - 4)/(x -7) = 4/9}}}
Multiply both sides by {{{x-7}}}
{{{y - 4 = (4/9)*(x - 7)}}}
{{{y - 4 = (1/9)*(4x - 28)}}}
{{{9y - 36 = 4x - 28}}}
{{{9y = 4x + 8}}}
{{{y = (4/9)*x + 8/9}}} answer