Question 124768
Write the equation in either slope-intercept form or standard form:

The line with the slope m=5, passing through the point (-12,0)<br><br>

Let's use slope-intercept form:
{{{y=mx+b}}}<br><br>

You know the slope is 5, so add that in your equation:
{{{y=5x+b}}}<br><br>

Now you need to find the y-intercept, which is reprented by b. To do so, plug in the values from the coordinate given:
{{{0=5(-12)+b}}}<br><br>

Multiply:
{{{0=-60+b}}}<br><br>

Add 60 to both sides:
{{{60=b}}}
So now you have your y-intercept.<br><br>

So, your equation is:
{{{y=5x+60}}}<br><br>

You can check by plugging in the values in the coordinate:
{{{0=5(-12)+60}}}<br><br>

Multiply:
{{{0=-60+60}}}<br><br>

Add:
{{{0=0}}}