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

Question

asked May 16, 2020 34.2k views

1 Answer

Ally · Answer 1 · 2020-05-23T06:54:42+0000

Answer:
y=4x-28

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