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Zanzabum
3 years ago
5

8. Find the y-intercept of a line with a slope of 1/4 and going through the point(-4,4).​

Mathematics
1 answer:
Tems11 [23]3 years ago
5 0

Answer:

(0, 5)

Step-by-step explanation:

Equation for a linear line in y=mx+b is

y-y1=m(x-x1)

x1 = -4

y1 = 4

m = 1/4

y-4 = 1/4 (x--4)

y-4= 1/4 (x+4)

y-4 = 1/4x + 1

y = 1/4x + 5

When x=0, y=5 making 5 your y intercept.

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*100 points* *Please help* *Spam reported*
Trava [24]

Answer:

8x + 12y = 360

x-intercept = 45

y-intercept = 30

Slope = -3/4

Step-by-step explanation:

To begin, let's start with what we know

8 vans + 12 buses = 360 student

If we have vans as the variable x, having an unknown amount of students, and buses as y, also an unknown amount of students, also making 360 a flat number, we will get the equation

8x + 12y = 360

With this equation, we can find the y-intercepts and x-intercepts

The y-intercept can be found when x = 0, so let's substitute that in

8(0) + 12y = 360

   12y / 12 = 360 / 12

             y  = 30

The x-intercept can be found when y = 0, so let's substitute that in

8x + 12(0) = 360

8x/8          = 360/8

x                = 45

So, the x-intercept is 45 and the y-intercept is 30.

Next, let's find the slope. We can solve this easily by isolating y and finding the coefficient of x

8x + 12y = 360

-8x                    -8x

       12y = 360 - 8x  

12y / 12 = (360 - 8x) / 12

          y  = 30 - 3/4x

The coefficient of x is -3/4, so the slope will be -3/4

If you have any questions, please let me know in the comments! If you could mark this answer as the brainliest, I would greatly appreciate it!

4 0
2 years ago
Read 2 more answers
Solve P = 8/3 R + 30 for R.
vampirchik [111]

Answer:

R = (3P-30)/8

Step-by-step explanation:

subtract 30 from each side to get:

P-30 = \frac{8}{3}R

multiply each side by \frac{3}{8} to get:

\frac{3}{8} · P - 30 = R

R = (3P-30)/8

7 0
3 years ago
Which Theorem do you use to solve for D?
mixas84 [53]

Answer:

D + 50 - 20 = 70

D = 70

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
If you take a number multiply by 7 then takeaway 1. You get the same as if you took the number multiply by 5 then takeaway 8. Wh
muminat
7x - 1 = 5x - 8
Minus 5x on each side
2x -1 = -8
Plus 1 on each side
2x = -7
Divide by 2 on each side
x = -7/2

The number is most likely -7/2
7 0
2 years ago
Read 2 more answers
10. Two sides of a triangle have
Oksanka [162]
I think the answer is 6 from the information you provided.
7 0
3 years ago
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