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likoan [24]
2 years ago
14

How do i find an equation for a line with an x-intercept of 4 and a y-intercept of -2

Mathematics
1 answer:
ivann1987 [24]2 years ago
6 0

Answer:

The equation of a line is y = ax + b, where a is the slope and b is the y-intercept.  

Since we have the y-intercept, all we need to do is find the slope. To find the slope, you need 2 coordinates.

The y-intercept is where the line crosses the y axis, so it is where x is 0. Since the y intercept is -2, that means the first coordinate is (0, -2)

The x-intercept is where the line crosses the x axis, so it is where y is 0. Since the x intercept is 4, that means the second coordinate is (4, 0)

Since we already have the y-intercept, all we do is put the slope in the equation: y = 1/2x - 2.

Step-by-step explanation:

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Kyle grates 4/8 pound of cheese for enchiladas. He grates 2/8 pound of cheese for tacos. How much cheese does Kyle grate in all?
babymother [125]

He grates 6/8 pounds of cheese in all.

For this problem, you just have to add the numerators and keep the denominators.

4/8 + 2/8 = 6/8.

Remember, if the denominator is the same, just add the numerator.

7 0
2 years ago
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PLEASE HELP!! will be marked brainliest!!
Arturiano [62]

Answer:

yup and yup

Step-by-step explanation:

also 1. is                yup and yup

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The equation the quantity 2x minus 20 divided by 3 = 2x models temperature change, where x represents the difference in degrees
irina [24]

The solution to the equation is x = -5

<h3>How to determine the value of x?</h3>

The equation is given as:

the quantity 2x minus 20 divided by 3 = 2x

Rewrite properly as

(2x - 20)/3 = 2x

Multiply through by 3

2x - 20 = 6x

Collect like terms

6x - 2x = -20

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5 0
1 year ago
Simplify (2x + y)(x - 2y) - (x + 2y)(2x - y) as much as possible.
snow_tiger [21]

Answer:

-6xy

Step-by-step explanation:

(2x-y)x(x-2y)-(x+2y)X(2x-y)

remove the parentheses

2x^2-4xy+xy-2y^2-(2x^2-xy+4xy-2y^2)

collect terms

2x^2-4xy+xy-2y^2-(2x^2+3xy-2y^2)

remove the parentheses

2x^2-4xy+xy-2y^2-2x^2-3xy+2y^2

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4 0
3 years ago
4 of 4
Vlada [557]

Answer:

£30

Step-by-step explanation:

Let Brian initially had money in his wallet = £x

and Colin had the money = £y

Since ratio of money in Brian's wallet to Colin's wallet was 5 : 1

Therefore,  

⇒ x = 5y -------(1)

Brian spent £27 that day, so money left with him = £(x - 27)

After spending the money Brian had £3 less than Colin.

(x - 27) = (y - 3)

x = y + 27 - 3

x = y + 24 -------(2)

Now we equate the equations (1) and (2) for the value of x,

5y = y + 24

5y - y = 24

4y = 24

y = £6

From equation (2),

x = 6 + 24

x = £30

Therefore, Brian initially had £30.

i hope this helps

3 0
2 years ago
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