Question

Please help me!

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

1. -10x + 5y = 40

A. x-intercept is 5; y-intercept is -10

B. x-intercept is 8; y-intercept is -4

C. x-intercept is -10; y-intercept is 5

D. x-intercept is -4; y-intercept is 8


2. 5x + 4y = 80

A. x-intercept is 4; y-intercept is 5

B. x-intercept is 20; y-intercept is 16

C. x-intercept is 5; y-intercept is 4

D. x-intercept is 16; y-intercept is 20


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

A. -x - 6y = 24

B. -x + 6y = 24

C. -x + 6y = 4

D. 6x - y = 24


4. A grocery store sells kumquats for $4.75 a pound and Asian pears for $2.25 a pound. Write an equation in standard form for the weights of kumquats k and Asian pears p that a customer could buy for $22.

A. 4.75k + 2.25p = 22

B. 4.75k = 2.25p + 22

C. 4.75 + 2.25 = k

D. 4.75p + 2.25k = 22


5. Graph the Equation.

x = -2

Answer 1

1=b
i will finish this when i get home for you

Answer 2

1. Option D.

2. Option D.

3. Option B.

4. Option A.

5. The graph of x=-2 is shown below.

Explanation:

1.

The given equation is

`-10x + 5y = 40`

Substitute x=0, to find the y-intercept.

`-10(0) + 5y = 40\Rightarrow 5y=40\Rightarrow y=8`

Substitute y=0, to find the x-intercept.

`-10x + 5(0) = 40\Rightarrow -10x=40\Rightarrow x=-4`

Since x-intercept is -4; y-intercept is 8, therefore the correct option is D.

2.

The given equation is

`5x + 4y = 80`

Substitute x=0, to find the y-intercept.

`5(0) + 4y = 80\Rightarrow 4y=80\Rightarrow y=20`

Substitute y=0, to find the x-intercept.

`5x + 4(0) = 80\Rightarrow 5x=80\Rightarrow x=16`

Since x-intercept is 16; y-intercept is 20, therefore the correct option is D.

3.

The given equation is

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

Standard form of a line is ax+bx=c.

Multiply both sides by 6.

`6y=x+24`

Subtract x from both sides.

`-x+6y=24`

Therefore, the correct option is B.

4.

Let k be the weights of kumquats and p be the weights of Asian pears.

A grocery store sells kumquats for $4.75 a pound and Asian pears for $2.25 a pound.

Total cost = 4.75k + 2.25p

Customer could buy for $22.

`4.75k + 2.25p=22`

Therefore, the correct option is A.

5.

The given equation is

`x=-2`

We need to find the graph of given equation.

We know that x=a is a vertical line which passes through the point (0,a).

The given equation x=-2 is a vertical line which passes through the point (0,-2).

The graph of x=-2 is shown below.