Question 143646
For this type of problem, you first make the slope into a fraction. Like this <br>
{{{2/1}}}<br>
Now, the 2/1 equals the numerator on the other side, you put y - (the y). So for this problem it would be {{{y-2}}}.<br>
And for the denominator (for the other fraction), you put x- (the x). Again, it would be {{{x-3}}}<br>
So your equation should look like <br>
{{{2/1=(y-2)/(x-3)}}} <br>
Now you multiply the denominator (of the right side) by the left side, as shown below. <br>
{{{(2/1)(x-3)=((y-2)/(x-3))(x-3)}}}<br>
which simplifies to <br>
{{{2x-6=y-2}}} <br>
And all you have to do now is add or subtract the number next to y. So that would look like <br>
{{{2x-6+2=y-2+2}}}<Br>
which simplifies to <br>
{{{2x-4=y}}}
<Br>
and that's your answer!