Question

Find the equation of a line through (4, -3) that is parallel to the line that passes through these points (-4,7) and (2,4). Write your answer in standard form (Ax + By = C). Show all your work.
I'm really stuckkkk

Answer 1

To find the slope between the 2 points (x₁,y₁) and (x₂,y₂), use:
\[m = \frac{ y₂ - y₁ }{ x₂ - x₁ }\]

If two lines are parallel, their slopes are the same.

Answer 2

But I need to find the equation of the line..

Answer 3

Once you know the slope, you can use the point-slope formula to find the equation:
\[(y-y₁) = m(x-x₁)\]

Answer 4

Then you can solve it for standard form

Answer 5

so would my formula to find the slope be (4-7)/2- -4)

Answer 6

Yup, that would be the slope (m).

Answer 7

My answer comes up with -1/2 for the slope is that correct?

Answer 8

Yes, that is correct.

Answer 9

What do I do next? Sorry I'm just really stuck

Answer 10

Now that you have the slope, plug it into the equation
(y-y₁) = m(x-x₁)
Where (x₁,y₁) is any point on the new line.

Answer 11

Wait how do I plug it into the equation?

Answer 12

Put -1/2 in place of m, 4 in place of x₁, and -3 in place of y₁.

Answer 13

So it would now be y- -3 = -1/2 (x-4)?

Answer 14

Yes.

Answer 15

Now put it into standard form by placing the x and y terms on the left, and the constants on the right.

Answer 16

I'm stuck? what do you mean?

Answer 17

(Ax + By = C). this is the example of standard form

Answer 18

y + 3 = -(1/2)x + 2
y + (1/2)x = -1
2y + x = -2

Answer 19

THANK YOUUUUUUUU