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sveta [45]
3 years ago
10

What is the slope and the y-intercept of the line on the graph below?

Mathematics
1 answer:
jeka57 [31]3 years ago
6 0

The slope is the amount of change in the value of y for every one unit increase in the value of x. Thus, what we are looking for is, if the value of x increases by 1, by how much will the value of y increase (or effectively decrease, if this value is negative)?

From the graph, we can see that as x increases, y decreases, therefor we know that this will be a negative number. Furthermore, if we look at the points (0, 1) and (4, 0), we can see that there has been a decrease of 1 unit (or an increase of -1 units) in the y-value for an increase of 4 units in the x-value. Thus, if we wanted to find how much the y-value increases for a one unit increase in the x-value we would have -1/4.

This also reflects the formula for the gradient being rise/run - there has been a 'rise' of -1 (negative since it has fallen rather than risen) and a 'run' of 4 (this refers to the amount of units in the x-direction).

Now we can see that either C or D is the answer.

To find the y-intercept, we simply look at what the y-value is when x = 0; looking at the graph, we can see that y = 1 when x = 0, thus the y-intercept is 1.

Given that the gradient is -1/4 and the y-intercept is 1, we can see that the answer is C.

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How would you solve 3x=18
Yakvenalex [24]

Hi!

3x=18

\frac{3x}{3}=\frac{18}{3}

x=6

<u>Explanation: </u><u><em>This question is super easy on this question. First you had to divide by 3 from both sides. And simplify, it gave us the answer is x=6 is the right answer. Hope this helps! And thank you for posting your question at here on Brainly. And have a great day. -Charlie</em></u>

3 0
3 years ago
A car-making factory has 480 wheels. how many cars can be completed with the wheels?
Lina20 [59]

Answer:

See below

Step-by-step explanation:

If the car has 4 wheels    480/4 = 120 cars

If the car has 3 wheels    480/3 = 160 cars

If the car has 6 wheels ( like a dual truck)  480 / 6 = 80

8 0
2 years ago
A baker has 3/4 a pound of sugar 2/5 of a pound of cinnamon and 4/5 of a pound of flour. She uses 1/5 of a pound of each. How mu
Komok [63]

First, make all the denominators the same.

In this case, all the denominators are of the value of either 4 or 5. So, now what is the biggest number we can multiply by, using four AND five.

Answer is 20 because 5*4 is 20 and 4*5 is 20.

So now for all the ingredients, we have to :

-multiply the whole fraction by 4 if the denominator is 5

- Multiply the whole fraction by 5 if the denominator is 4

So for sugar, you would do 3/4 ( times 3 by 5, times 4 by 5)

Which is 15/20

For cinnamon, you would do 2/5 ( times 2 by 4, times 5 by 4)

Which is 8/20

For flour, you would do 4/5 ( times 4 by 4, times 5 by 4)

Which is 16/20

But, for your problem, you need to work out how much the baker has left over after using 1/5 of pound of all the ingredients. So, you would do 1/5 ( times 1 by 4, times 5 by 4)

Which is 4/20

Now, we can subtract it by the ingredients For sugar:

15/20 - 4/20

Now the baker has 11/20 pound of sugar

For cinnamon:

8/20 - 4/20

Now the baker has 4/20 pound of cinnamon ( simplified fraction is 1/5)

For flour

16/20 - 4/20

Now the baker has 12/20 pound of flour ( simplified fraction is 3/5)

Hope this helps;)

8 0
3 years ago
I need help with this I’ll give brainlist
a_sh-v [17]

Answer:

The answer is B

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
If f(x) = 2x + 7 and g(x) = 3x - 6, then what is (f + g)(x)?
Arte-miy333 [17]

9514 1404 393

Answer:

  (f+g)(x) = 5x +1

Step-by-step explanation:

Substitute the given expressions and simplify.

  (f+g)(x) = f(x) +g(x)

  (f+g)(x) = (2x +7) +(3x -6) = (2x +3x) +(7 -6)

  (f+g)(x) = 5x +1

8 0
3 years ago
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