Question

a line is parallel to y=4x+1 and intersects the point (-2,4) what is the equation of this parallel line

Answer 1

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

$y-y_{1} =m(x-x_{1} )\\y-4=4(x--2)\\y-4=4(x+2)\\y-4=4x+8\\y=4x+12$

Answer 2

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