Answer:
y=3x-5
Step-by-step explanation:
Use the point slope formula:
[tex]y-y_{1} =m(x-x_{1})[/tex]
Slope (m)
We know the slope is 3, because parallel lines have the same slopes.
y = 3x-13
This is in y=mx+b form, where m is the slope and b is the y intercept. We know that 3 is the slope because it is being multiplied by x.
Point (x1, y1)
Points are written like so: (x, y)
So, for (1, -2), 1 is our x1, and -2 is our y1.
Now we know the m is 3, x1 is 1 and y1 is -2, so we can substitute them in
[tex]y-y_{1} =m(x-x_{1})[/tex]
y- -2=3(x-1)
y+2=3(x-1)
y+2= 3*x + 3*-1 Distribute the 3
y+2=3x-3
y+2-2=3x-3-3 Subtract 2 from both sides
y=3x-5
