[tex]\tt Step-by-step~explanation:[/tex]
In order to solve, we need to know the formula for slope-intercept: y = mx + b. M stands for the slope, and b stands for the y-intercept, or where the line crosses the y-axis.
[tex]\tt Step~1:[/tex]
Let's solve for the slope first. In order to find the slope, we need to find the rise and run of the line. The line rises 3 units before intersecting with a point, so that is the rise. The line goes across 1 unit, so that is the run of the line. Slope = rise/run. Slope = 3/1 = 3.
[tex]\tt Step~2:[/tex]
Now that we have the slope, we can solve for the y-intercept. We can see clearly that the line passes through 3 on the y-axis, so that is our y-intercept, or b. y = mx + b → y = 3x + 3
[tex]\Large\boxed{\tt Our~final~answer:~y=3x+3}[/tex]
