Question 160162
You got the first part correct.

The second problem is a slight variation on the first one.
In the first problem, you were given the slope and a point (3,5). In the second problem, you are just given two points (3,5) and (7, -4). So in the second one, you need to find the slope.
Slope = {{{(y[2] - y[1])/(x[2] - x[1])}}}
{{{(-4 - 5)/(7-3)}}}
{{{-9/4}}}
You got that part correct too.

All you need to do now is the same thing you did in the first part
{{{y = mx + b}}}
{{{5 = (-9/4)(3) + b }}}
{{{5 + 27/4 = b }}}
{{{47/4 = b}}}
No plug it in
{{{f(x) = (-9/4)x + 47/4 }}}
Check your answer. Does it work for the point (7, -4)??
{{{-4 = (-9/4)*7 + 47/4}}}
{{{-4 = -63/4 + 47/4}}}
{{{-4 = -16/4}}}
{{{-4 = -4}}} so it is true. And the equation is correct.

You were ====> <===== this close. Way to go!