So for the equation im going to be using the slope-intercept form [tex]y=mx+b[/tex] where the m variable is the slope and the b variable is the y-intercept.
Since we already know the slope, 3, we can use it to replace the m variable, but we still need to solve for b. And to do so, we will need to replace the x and y variable with 4 and -7 since we know that the line passes through that coordinate.
[tex]-7=3(4)+b[/tex]
multiply 3 and 4 to make 12. [tex]-7=12+b[/tex]
subtract 12 from each side to get [tex]-19=b[/tex]
and now that we know b, we can format the equation as [tex]y=3x-19[/tex] .
