Answer: y=4x+12
Step-by-step explanation:
a parallel line has the same slope, so the slope remains 4
use point slope formula to write the equation
[tex]y-y_{1} =m(x-x_{1} )\\y-4=4(x--2)\\y-4=4(x+2)\\y-4=4x+8\\y=4x+12[/tex]
Answer:
y=4x+12
Step-by-step explanation:
When two lines are parallel, their slopes are the same. In y=mx+c form, m is the slope. So the slope of our parallel line is 4:
y=4x+c
To find c, plug in (-2,4) into the equation because we know it's a point on the line:
4=4(-2)+c
4=-8+c
c=12
So our equation is y=4x+12
