Question

In the equation 2x + 2y = 5, the y-intercept is 5
true or false?

Answer 1

do you know how to rewrite an equation into slope-intercept form?

Answer 2

ok so basically slope itnercept form looks like y=mx+b where m and b are numbers
so if you have an equation that's
3x+2y=-4
to write it into slope intercept form you just solve for y
so
2y=-3x-4
y=-3/2x-2
the nice thing about slope intercept form is that once you have something in slope intercept form that number without the x behind it (the "b" of y=mx+b) is your y intercept

Answer 3

so let's try it with your equation. you have
2x+2y=5
so you want to isolate y so it's the only thing, right?

Answer 4

Well thats a little complicated why not just sub the X for 0

Answer 5

@pooja195 there's a number of ways to do it, but I have a feeling that her curriculum will want her to use the slope intercept form more than the definition of y intercept

Answer 6

for some reason will not let me clear messages and type back ok im ready taking notes on this stuff

Answer 7

ok so let's start with your equation.
2x+2y=5

Answer 8

so we want to get y alone on one side. Any ideas how to do it?

Answer 9

ok so let's subtract 2 x from both sides... then the 2x on the left side cancels out and goes to the right side
2x+2y=5
-2x =-2x
0x+2y=5-2x
right?

Answer 10

so 0x equals 0 so we just have
2y=5-2x right?

Answer 11

now all we have to do is get rid of the 2 on both sides. we want y insteasd of 2y, so we just divide 2y by 2. But we have to do that to the other side of the equation too

Answer 12

so
2y/2=(5-2x)/2
we have to do each individual term here
y=5/2-2x/2
then we simplify and put x first so it's in the form y=mx+b
y=-x+5/2

Answer 13

ok im writing stuff down and following you on this one

Answer 14

so does everything so far make sense?

Answer 15

yes

Answer 16

so we're actually really close to our answer here. because we've written our equation in the form y=mx+b, all we need to do is identify b
so our equation is y=-x+5/2
can you identify b?