Answer:
[tex]y=3x+6[/tex]
Step-by-step explanation:
In order to create an equation in slope-intercept form, we need to first find the slope of the line. In order to do this, we use the equation:
[tex]\frac{y2-y1}{x2-x1} =m[/tex]
Plug your two coordinates into this equation:
[tex]\frac{(3--3)}{(-1--3)} = \frac{6}{2} = 3[/tex]
Now, you can add the slope to the slope-intercept formula. We still need to find b, though.
[tex]y=3x+b[/tex]
Choose one coordinate you were given and plug in x and y.
[tex]3=3(-1)+b\\3=-3+b\\6=b[/tex]
Hence, your equation is:
[tex]y=3x+6[/tex]
