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Lelu [443]
3 years ago
14

Find the y-intercept and the x-intercept of the line 2x-4y=10

Mathematics
1 answer:
kompoz [17]3 years ago
4 0
Finding y intercept and x intercept is easy:

X intercept will be of the form (x,0) and y intercept will be of the form (0,y)

● If you put x=0 in the equation, you will get y-intercept.

● If you put y=0 in the equation, you will get x-intercept.
______________________________

Given equation: 2x - 4y = 10

◆ Put x = 0
2×0 - 4y = 10
=> -4y = 10
=> y = 10/(-4)
=> y = -5/2

Thus y intercept is (0, -5/2)

◆Put y = 0
2x - 4×0 = 10
=> 2x = 10
=> x = 10/2
=> x = 5

Thus the x intercept is (5,0)
You might be interested in
Graph A line goes through the point (6,–2) and has a slope of –3. What is the value of a if the point (a,7) lies on the line?
3241004551 [841]

Answer:

The value of a is 3

Step-by-step explanation:

First you have to make an equation based on the point and slope that you were given. The formula for this is y-(y cordinate of point)=slope(x-x cordinate of slope)

y--2=-3(x-6), which simplifies to y+2=-3(x-6)

In (a,7), 7 is the y coordinate. We have to plug 7 in for the y in our equation.

7+2=-3(x-6),

Combine like terms on the left side to get to 9=-3(x-6)

Multiply out on the left to get 9=-3x+18

Subtract 18 from the left side to get -9=-3x

Divide both sides by negative 3 to get 3=x (remember x is a)

7 0
2 years ago
Last year Jo paid £245 for her car insurance. This year she has to pay £883 for her car insurance. Work out the percentage incre
S_A_V [24]

Answer:

260%

Step-by-step explanation:

To solve how much the percentage increase cost of Jo's car insurance is, we first need to list down our variables.

1st year = £245

2nd year = £883

First off, we need to find the difference of the two.

Increase = £883 - £245

Increase = £638

Now to find the percentage increase, we take our increase and divide it by our 1st year's payment and multiply it by 100.

Percentage increase = \dfrac{638}{245}*100

Percentage increase = 2.60*100

Percentage increase = 260%

So the percentage increase of last years payment to this years payment is 260%.

8 0
3 years ago
Describe how to determine the solution of a system of two linear equations by graphing.
levacccp [35]
Using the graphing you graph the two equations and then find the point where the two lines of the equation meet.

Hope this helps :)
4 0
3 years ago
Read 2 more answers
74 divided by 2 but long division
Olin [163]

Answer:

69

Step-by-step explanation:

74/2

8 0
3 years ago
What is X in the equation -15x+15(-4)=-30
love history [14]

<em><u>Answer: x=-2 *The answer should be the negative sign.*</u></em>

Step-by-step explanation:

distributive property: a(b+c)=ab+ac

remove parenthesis

-15x-15*4=-30

15*4=60

-15x-60=-30

add 60 both sides of an equation.

-15x-60+60=-30+60

simplify.

-15x=30

divide by -15 both sides of an equation.

-15x/-15=30/-15

simplify.

30/15=2

x=-2

Hope this helps!

Thanks!

Have a great day!

7 0
3 years ago
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