What is the equation of the line that has a slope of 4 and goes through #(1,9)#?
When you are given the slope and a set of points, you use point slope form, which is:
So, plug in your numbers
Begin to isolate y by adding
Use the point-slope form of a linear equation, which is
where m is the slope of the line and
If the answer needs to be in slope-intercept form, solve the equation for
If the answer needs to be in standard form, continue using inverse operations to take the equation from slope-intercept form to standard form.