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podryga [215]
3 years ago
7

For questions 1-2, find the x- and y- intercept of the line.

Mathematics
1 answer:
alexdok [17]3 years ago
8 0

Answer:

1. d. x-intercept is -4; y-intercept is 8.

2.d. x-intercept is 16; y-intercept is 20

3. b. -x+6y=24

4.  a. 4.75k+2.25p=22

Step-by-step explanation:

1. -10x+5y=40

to find the y intercept   let x =0

5y = 40

divide by 5

y = 40/5  = 8

to find the x intercept   let y =0

-10x = 40

divide by -10

x = 40/-10

x=-4


2. 5x+4y=80

to find the y intercept   let x =0

4y = 80

divide by 4

y = 80/4  = 20

to find the x intercept   let y =0

5x = 80

divide by 5

x = 80/5  

x=16


3. Write y=1/6x+4 in standard form using integers.

Ax+by =c

multiply each side by 6

6y = 6* (1/6 x + 4)

6y = x+24

subtract x from each side

-x+6y = x-x+24

-x +6y = 24


4. lbs of kumquats * price/per + lbs of pears * price/lb =22

 k * 4.75 + p * 2.25 =22

4.75k + 2.75p = 22



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Answer:

The required equation is: \mathbf{f(x)=\frac{3}{4}x-\frac{29}{4}}

Step-by-step explanation:

We need to find equation from the table given

x     f(x)

3     -5

7     -2

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We can write equation in the form of y=mx+b

where m is slope and b is y-intercept.

Finding Slope

We can used the slope formula to find slope: Slope=\frac{y_2-y_1}{x_2-x_1}

From the table we have: x_1=3, y_1=-5, x_2=7, y_2=-2

Putting values and finding slope

Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{-2-(-5)}{7-3} \\Slope=\frac{-2+5}{7-3}\\Slope=\frac{3}{4}

So, we get slope m=\frac{3}{4}

Now, finding y-intercept

Using the slope m=\frac{3}{4} and point (3,-5) we can find y-intercept

y=mx+b\\-5=\frac{3}{4}(3)+b\\-5=\frac{9}{4}+b\\b=-5-\frac{9}{4}\\b=\frac{-5*4-9}{4}\\b=\frac{-20-9}{4}\\b=\frac{-29}{4}

The y-intercept is b=\frac{-29}{4}

So, the equation having slope m=\frac{3}{4} and y-intercept b=\frac{-29}{4} will be:

y=mx+b\\y=\frac{3}{4}x-\frac{29}{4}

The required equation is: \mathbf{f(x)=\frac{3}{4}x-\frac{29}{4}}

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