Question

3.Write the equation of the line passing through the points (0, -4) and (-2, 2).

Answer 1

First find the Slope of the two given points.
\[m = \frac{ y2 - y1 }{ x2 - x1 }\]\[m = \frac{ 2 - (-4) }{ -2 - 0} = \frac{ 2 + 4 }{ -2 }=\frac{ 6 }{ -2 }= -3\]

Answer 2

Do you know the Point-Slope form?

Answer 3

yes y-y1m(x-x1)?

Answer 4

Right. So we substitute the values of a point, lets just use (0, -4), and slope into the equation.
y - y1 = m(x - x1)

Answer 5

Can you do that?

Answer 6

idk how to set it up

Answer 7

y1 and x1 stand for the values of the coordinates, (x, y).
(0, -4)
0 is the x-value, or x1
-4 is the y-value, or y1

Remember that our slope, m, is -3.

So we substitute these into the equation:
\[y - y1 = m(x - x1)\]\[y - (-4) = -3(x - 0)\]^Two negatives = a positive.
\[y + 4 = -3(x - 0)\]Do you understand so far?

Answer 8

yes

Answer 9

Great! Now, I'm not sure if you need to convert it into Slope-Intercept form. Do you have any answer choices?

Answer 10

@Jessiesummer do you know what format you need the answer to be in?

Slope-Intercept: y = mx + b
or
Point-Slope: y - y1 = m(x - x1)