Question

What is the equation of the line that passes through the points (-3, 2) and (-5, 8)?

3x - y = -11
3x + y = - 7
3x + y = 5
x + 3y = 3
@iGreen.

Answer 1

What do you think it is?

Answer 2

well you would find the slope so 6/-2

Answer 3

then divide so x=3

Answer 4

No, 6 / -2 isn't 3..check again.

Answer 5

-3

Answer 6

Yep, so the slope is -3..

Answer 7

Which options have slopes of -3?

Convert them into the form of y = mx + b, where m is slope.

Answer 8

how?

Answer 9

Like this:

3x - y = -11

Subtract 3x to both sides:

-y = -3x - 11

Multiply -1 to all terms:

y = 3x + 11

So what's the slope of this equation?

Answer 10

3

Answer 11

Yep, so we can eliminate this one, because it has a slope of 3.

Answer 12

The answer is
B

Answer 13

y=-3x-7

Answer 14

Anyway, to find the equation, we can plug in the slope with one of the points into point-slope form.

\(y - y_1 = m(x - x_1)\)

\(y - 2 = -3(x +3)\)

Distribute -3 into the parenthesis:

\(y - 2 = -3x - 9\)

Add 2 to both sides:

\(y = -3x - 7~\Large\color{lime} \checkmark\)