[tex]\tt Step-by-step~explanation:[/tex]
To solve, we need to write this in slope-intercept form.
[tex]\tt Step~1:[/tex]
Slope: 3
Point: (1,2)
Slope-intercept form:
y = mx + b (y = y value, m = slope, x = x value, b = y-intercept)
y = 2, m = 3, x = 2, b = ?
We have to solve for b. To do so, we plug in all these values into our formula. Move all values not equal to b to the left of the equation.
[tex]\tt 2 = 3(1)+b\\2=3+b\\2-3=3-3+b\\-1=b[/tex]
[tex]\tt Step~2:[/tex]
Now that we know what b is, we can plug it into our equation. Plug in only the value of the slope and the y intercept.
y = mx + b
y = 3x - 1
[tex]\large\boxed{\tt Our~final~answer:~y=3x-1}[/tex]
