Question

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

Answer 1

you already have the y-int (0,-4) all you need to write the equation is the slope
use the slope formula

Answer 2

Remember that slope for 2 points (a,b) and (c,d) is
\[\frac{ c-a }{ d-b }\]

Answer 3

So the slope for (0,-4), (-2,2) is \[\frac{ 0--2 }{ -4-2 }=\frac{ 2 }{ -6 }=-\frac{ 1 }{ 3 }\]

Answer 4

Now, point (0,-4) is the y-intercept of the equation.

Answer 5

Just like ivettef365 said, you use the slope formula, which is \[y=mx+b\] where m is the slope and b is the y-intercept.

Answer 6

plug in -1/3 for m and 3 for b, and you'll get \[y=-\frac{ 1 }{ 3 }x-4\]

Answer 7

no, the slope is

y2 - y1
------
x2 - x1

2 - (-4) 6
------- = ------ = -3
-2 -0 -2

Answer 8

Oops. You're right. My mistake.
So the equation would be y=-3x-4

Answer 9

the equation is y = -3x -4

Answer 10

Thank you for correcting me.

Answer 11

your welcome

Answer 12

Thanks guys!!(:

Answer 13

yw :)