Question

Write an equation of a line that passes through the point (8,4) and is parallel to the y=4x+2

Answer 1

Answer: $y=4x-28$

Step-by-step explanation:

The Slope-intercept form of the equation of the line is:

$y=mx+b$

m: is the slope.

b: the intersection of the line with the y-axis.

The equation of the line $y=4x+2$ has:

$m=4\\b=2$

If both lines are parallel, then their slopes are equal. So the slope of the other line is:

$m=4$

To find "b", substitute the given point and the slope into $]y=mx+b$ and solve for "b":

$4=4(8)+b\\4-32=b\\b=-28$

Then the equation of this line is:

$y=4x-28$