I need someone who is good at algebra to help me with a couple of questions.?

Question

Find the slope and the y-intercept.
y = 3x


Find the slope and the y-intercept.
y = 5x + 8



Find the slope.
–9x + 8y = 22


and one more....

Find the slope and y-intercept.
–8x – 9y = 45

Thank you for any help

Answer 1

m is slope b is intercept
1.m=3
b=0

2.m=5
b=8

3
-9x+8y=22
8y=22+9x
y=22+9x/8
y=1.125x+2.75

m=1.125

4.
-8x-9y=45
-9y=45+8x
-9y=8x+45
y=8x+45/-9
y=-0.88x-5

m=-0.88
b=-5

Answer 2

y = 3x : slope is 3 and y intercept is 0 : You get this by making sure the y is on one side alone, and the x and number on the other side. The slope is the # in front of the x, and the y intercept is the last number with no x attached.

y = 5x + 8 : Reading the above, you can see the slope is 5 and the y intercept is 8

-9x + 8y = 22 : Add 9x to both sides to get 8y = 9x + 22
Divide by 8 to get y alone and get y = (9/8)x + 11/4 : Now you can see that the slope is 9/8 and the y intercept 11/4.

-8x -9y = 45 : Add 8x to both sides to get -9y = 8x + 45
Divide by -9 to get y alone and get y = (8/-9)x - 5 : Now you can see that the slope will be -8/9 and the y intercept is -5

Answer 3

Just remember y=mx+b, where m is the slope and b is the y-intercept. It makes sence if you think about it, the y-intercept is y where x=0, and when x is 0 y is b.

The first one's slope is just 3, and its y intercept is 0.
The second one's slope is 5, and y-intercept is 8.

The next two are set up as Ax+By=C. The slope would be -A/B. The y-intercept would be C/B. You could also put it into y=mx+b if that is easyer for you.

So, the first one's slope is 9/8.
The second one has a slope of -8/9 and y-intercept of -5.

Answer 4

The general formula for a line is y=mx+b. In this equation, m defines the slope, and b the y-intercept.

So, if you have the equation (like above) y = 5x + 8, you have m=5, so, the slope is 5; and b=8, so the y=intercept is at point (0,8).

Answer 5

Eq. of the line is Y =mX +c.
m = slope , c =y-intercept.

1.) slope = 3
Y intercept = 0

2.) slope = 5
Y intercept = 8

3.) divide the eq. by 8
y = 9/8(x) + 22/8
slope = 9/8
y-intercept = 22/8

4.) divide the eq. by -9
y = -8/9 (x) - 5
slope = -8/9
y intercept = -5

Answer 6

y = 3x
slope = 3
Cuts y axis at (0 , 0)

y = 5x + 8
slope = 5
Cuts y axis at (0 , 8)

-9x + 8y = 22
8y = 9x + 22
y = (9/8)x + 22 / 8
y = (9/8)x + 11 / 4
slope = 9 / 8
Cuts y axis at (0 , 11/4)

8x + 9y = - 45
9y = - 8x - 45
y = (- 8/9) x - 5
slope = (- 8/9)
Cuts y axis at (0 , - 5)

Answer 7

1. slope of the line is always the coffecent of x only if it says y= and cannot be -y=, you must evaluate compeletly for y to find the slope of the line

so its 3

2. same rule as 1st one not worring about the constant
so its 5

3. now solve for the y
so the eqution now is y=9/8x+11/4
so its 9/8

4. again solve for y and you change the sign b/c its -9 in front of y
y=-8x-5

Answer 8

1.

Slope is 3
y-int is (0,0)

2.

Slope is 5
y-int is (0,8)

3.

-9x+8y=22

8y = 22 + 9x

y=(9/8)x + (22/8)

Slope is (9,8)
y-int is (0,22/8)

4.

-8x-9y=45

-9y=8x+45

y=(-8/9)x-5

Slope is (-8,9), y-int is (0,-5)