Question 1176813
<pre>
Passing through (3, 2) and (4, 7)

We use the slope formula to find the slope:

Slope formula:
{{{m}}}{{{""=""}}}{{{(y[2]-y[1])/(x[2]-x[1])}}}
where (x<sub>1</sub>,y<sub>1</sub>) = (3,2)
and where (x<sub>2</sub>,y<sub>2</sub>) = (4,7)

{{{m}}}{{{""=""}}}{{{(y[2]-y[1])/(x[2]-x[1])}}}
{{{m}}}{{{""=""}}}{{{(7-2)/(4-3)}}}
{{{m}}}{{{""=""}}}{{{5/1}}}
{{{m}}}{{{""=""}}}{{{5}}}


Point-slope formula:
y - y<sub>1</sub> = m(x - x<sub>1</sub>)
where (x<sub>1</sub>,y<sub>1</sub>) = (3,2)
and slope = m = 5

y - 2 = 5(x - 3)

If you switch (x<sub>1</sub>,y<sub>1</sub>) and (x<sub>2</sub>,y<sub>2</sub>)

you get the other form.

Edwin</pre>