Question

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

a. y = 4x - 28
b. y = 4x + 28
c. y = 1/4 x - 2
d. y = 1/4 x + 2

Answer 1

@ranga ?

Answer 2

Answer these questions in order and you would have solved the problem.

1) What is the slope of y = 4x + 2 ?

2) Parallel lines have the same slope.
So what is the slope of a line parallel to y = 4x + 2 ?

3) The equation of a line in slope intercept form is y = mx + b
Substitute the slope m from (2) above.
The parallel line passes through the point (8,4)
Substitute x = 8 and y = 4 and solve for b.

Answer 3

THe slope is going to be the same, the only thing that will change is y intercept.
Say, y = 4x + b and plug (8, 4) into this.
y = 4x + b ---> 4=4(8)+b ---->4=32+b ---> b=-28
so
y = 4x - 28.

It is A.

Answer 4

thanks! cx