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

1. Option D.

2. Option D.

3. Option B.

4. Option A.

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

Step-by-step explanation:

1.

The given equation is

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

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

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

2.

The given equation is

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

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

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

3.

The given equation is

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

Multiply both sides by 6.

Subtract x from both sides.

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.

Therefore, the correct option is A.

5.

The given equation is

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.