Question

What is the equation in point-slope form of the line passing through (-3, -4) and (0, 2)?

Answer 1

WILL GET MEDAL

Answer 2

find the slope of the line first using the equation below. Pick one point to be \((x_1,y_1)\) and the other is \((x_2,y_2)\) and plug in the numbers

\[m=\frac{ y_2-y_1 }{ x_2-x_1 }\]

Answer 3

okay so i did

\[y=2-(-4)\div0-(-3)\]

Answer 4

and got 6/3

Answer 5

@peachpi

Answer 6

yes, so that's 2.

Answer 7

now plug into the point-slope formula

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

m is the slope you just found you can use the same point you used above for (x1, y1)

Answer 8

y - 8) = 2(x - 3)
(y + 3) = -2(x + 4)
(y - 2) = -2(x + 4)
(y + 4) = 2(x + 3)

these are the choices

Answer 9

@peachpi

Answer 10

y - (-4) = 2(x - (-3))
y + 4 = 2(x + 3)

Answer 11

Okay, i think i got it now thanks!! @peachpi

Answer 12

do you have time fore another one? it will be my last! @peachpi

Answer 13

ok

Answer 14

How do you find the rate of change for this question? @peachpi

Answer 15

Use the slope equation we used before. Since they want the rate of change from 1 to 4, use those x and y values.

At x = 1, y = 3, so that point is (1, 3).
At x = 4, y = 0, so that point is (4, 0)

\[\frac{ 0-3 }{ 4-1 }\]

Answer 16

it says -1!

Answer 17

so it would then be

0-3/4-(-1)?

Answer 18

then after that it would then be...

-3/5

Answer 19

@peachpi

Answer 20

it's -1

Answer 21

the 1 in your denominator is positive

Answer 22

oh my bad i was reading the question rather than what you wrote! @peachpi

Answer 23

Okay thank you for help i understand noww!! It was correct!

Answer 24

you're welcome