Question

Write the equation of the line that is parallel to the line y = 2x + 2 and passes through the point (5, 3).
y = 2x – 7
y = −x − 2
y = 2x – 2
y = −x − 7

Answer 1

So the first step for this problem is recognizing that the slope of the original line is 2 (remember that y = mx + b where "m" is the slope). Next, remember that two lines that are parallel share the same slope.
Because of this, options 2 and 4 can be crossed off, as they do not have a slope of 2.
Next, check which of the last 2 possible answers contains the point (5,3) by plugging in x=5 and y=3. One of them does not work!

Answer 2

the second and last one is supposed to say y=-1/2x-2 and the last one is y=-1/2x-7

Answer 3

does that make a difference ?

Answer 4

Not if the line is supposed to be parallel to y = 2x + 2.
The modified lines are perpendicular to y = 2x + 2, so are rejected as well.

Answer 5

No it doesn't because those don't have the same slope (2), so you can cross those off. It actually makes the problem a lot easier, as the only equation that has the same slope as the original line is the first possible one!

Answer 6

so is the answer A?

Answer 7

Can you explain how you got A?

Answer 8

Plug in (5,3) into answer A and see if it satisfies the equation. If it does (since the slope is the same as well), you're right!