Question

Write the equation of the line that passes through (4, 2) and is parallel to the line y = 2x – 1.

A.
x – y = 6
B.
2x – y = 6
C.
2x – y = 1
D.
2x – y = –1

Answer 1

y = 2x - 1
can you tell me the slope of this line ?

Answer 2

do you know how to find the slope ?

Answer 3

In y = mx + b form (which is what your equation is in), the slope is in the m position. So can you tell me the slope ?

Answer 4

I will do this one for you, just to show you.

y = mx + b
y = 2x - 1
the number in the m position is 2, therefore the slope is 2.
A parallel line will have the same slope.

Now we will go back to y = mx + b
slope(m) = 2
(4,2) .. x = 4 and y = 2
now we will sub our info into the formula and solve for b (the y intercept)
2 = 2(4) + b
2 = 8 + b
2 - 8 = b
-6 = b

equation of parallel line is : y = 2x - 6, but it appears you need it in standard form : Ax + By = C
y = 2x - 6 -- subtract 2x from both sides
-2x + y = -6 -- multiply by -1 to make x positive
2x - y = 6 <== your parallel line in standard form

Answer 5

thanks sweetie <3 #Medal