Question

Complete the equations of the system in slope-intercept form. Use a decimal for the slope if necessary.

Line 1
x y
–3 7
–2 5
Line 2
x y
0 5
2 1

Line 1: y = x +
Line 2: y = x +
@dtan5457

Answer 1

easy peezy give me 2 min

Answer 2

Ok first line i'll show you.

slope intercept form is y=mx+b
it's important to understand m is the slope, and b is the y intercept

you have the points (-3,7) (-2,5)

to put in slope intercept..you first must need the slope

y2-y1/x2-x1

plug those in and you find that the slope is -2

perfect, but now you need to plug in any point that they gave you into the slope intercept

so like im gonna use -3,7 into y=mx+b

plug everything in to get 7=-2(-3)+b

solve for b and it's easily 7=6+b

b=1

now just finalize your equation to y=-2x+1<<<answer for 1st line

Answer 3

wanna try the 2nd one yourself?

Answer 4

it's fun once you learn it :D

Answer 5

give me one minute im working it out

Answer 6

alright, take your time. i'm doing my own homework too so i won't be going anywhere else

Answer 7

Did you get it?

Answer 8

y2-y1/x2-x1= 1-5/2-0 =-4/2
slope is -4/2
y=mx+b
5=-4/2*0+b
5=0+b
b=5
I got up to here now im lost??

Answer 9

@dtan5457

Answer 10

Yup, you got everything right here so far. Put the -4/2 slope as -2, (easier to read) now, you know that the slope is -2. the y intercept is 5. simply plug it in to the y=mx+b formula

y=-2x+5

m=slope
b=y intercept

easy as that

Answer 11

questions?

Answer 12

one more
What is the solution to the system?

Line 1
x y
–2 –4
–1 –1
Line 2
x y
2 3
3 1

Answer 13

ok. another few min.

Answer 14

this will be long. lol.

Answer 15

you need to make 2 linear equations from each set of points.

first line: (-2,-4) (-1,-1)

from what we learned before, to make the equation we need the slope.

i won't bother showing work as i think you got that by now.

slope=3x
ill use point slope formula to get the equation
y-y1=m(x-x1)

i use the point -2,-4

you get y+4=3(x+2)
simplify that to y=3x+2<ur first equation for the first set


2nd set, same stuff

(2,3) (3,1)

slope, point slope or intercept, all that stuff

slope:-2x

y-3=-2(x-2)
y=-2x+7<<<<ur 2nd equation

heres the tricky part, equate these equations together

-2x+7=3x+2

solve for x, and you get -5x=-5, or x=1

plug x=1 to any of those lines to get y

y=3(1)+2,

y=5

your solution=(1,5)