Question

sum1 help
Write the equation of a line in slope-intercept form passing through (4, 5) and (6, 8)

Answer 1

First find the slope


m = (y2-y1)/(x2-x1)


m = ( 8- 5)/(6-4)


I'll let you finish to find the slope. Tell me what you get.

Answer 2

m=3-2
m=1 @jim_thompson5910

Answer 3

no

Answer 4

m = (y2-y1)/(x2-x1)


m = ( 8- 5)/(6-4)


m = 3/(6-4)


m = 3/2

Answer 5

so the slope is 3/2

Answer 6

oh so the bttm doesnt change

Answer 7

not sure what you mean, the bottom goes from 6-4 to 2, so it does change

Answer 8

oh so it has to = a fraction

Answer 9

yes, you'll often get a fraction for the slope

Answer 10

not always though

Answer 11

so u reduce it right

Answer 12

3/2 is fully reduced

Answer 13

ik but im saying like if it wer 2/6 u can reduce it

Answer 14

yes, 2/6 would reduce to 1/3

Answer 15

oh wait look at my answers all 4 say 3/2?

Answer 16

now that you know the slope is 3/2, we know m = 3/2

one of the points is (4,5), so x = 4 and y = 5

y = mx+b

5 = (3/2)*(4) + b

5 = (3/2)*(4/1) + b

5 = (3*4)/(2*1) + b

5 = 12/2 + b

5 = 6+b

Keep going to find the value of b

Answer 17

imma attach it

Answer 18

what do you get when you solve 5 = 6+b for b?

Answer 19

wait wat do i write for my answer bc they all say 3/2 x +or- something

Answer 20

what do you get when you solve 5 = 6+b for b?

ignore the answer choices for now

Answer 21

-1

Answer 22

so we know that m = 3/2 and b = -1

which means

\[\Large y = mx+b\]

becomes

\[\Large y = \frac{3}{2}x-1\]

Answer 23

ok