Question

Find the equation of a line going through points (-3, 4) and (0, 5). Write it in slope-intercept form. Show your work. Please help me!!!!!

Answer 1

subtract one point from the other to start with

Answer 2

huh

Answer 3

did you mean -3 and 4 to subtract?

Answer 4

good question.

no, what i like to do is stack the points and subtract like parts like this

(-3, 4)
-( 0, 5)
--------
-3, -1

Answer 5

the result gives me what I need to make a slope with:

slope = y/x or -1/-3

Answer 6

ok

Answer 7

is the formula for this y=mx+b

Answer 8

the end result will be yes

Answer 9

m is where we put our slope that we just determined; m=1/3

Answer 10

b can be found a couple of ways; the most straight forward is to use one of your points to find it

y = 1/3 x + b ; spose we use (0,5)

5 = 1/3 * 0 + b

5 = 0 + b

Answer 11

ok

Answer 12

thats it really

Answer 13

you know m and b ... so we fill them in to make the desired equation

Answer 14

so what i should do is plug in y= mx+b which would be Y=1/3(0)+b

Answer 15

y = mx + b

m = 1/3 and b = 5

y = 1/3 x + 5

Answer 16

now if i plugged in the (-3,4) it would stil work out the same?

Answer 17

yes

if you used the other point it would have worked out the same

since both points are on the same line; and the only way that can happen is if the slope of the line is created from the 2 points

Answer 18

y = 1/3 x + b

4 = 1/3 * -3 + b

4 = -1 + b

5 = b

Answer 19

y = 1/3 x + 5

Answer 20

cool thanks for helping me understand it better.

Answer 21

good luck :)