Answer
y=3x-2
Work Step by Step
You have the points (1,1)(3,7). You have to find the slope using the formula (m=$\frac{y2-y1}{x2-x1}$) so m =$\frac{7-1}{3-1}$=$\frac{6}{2}$=3.
Put the value of the slope and (1,1) in the equation (y=mx+b) so:
1=3(1)+b
b=-2
Plug all the values into the slope-intercept form so y=3x-2