Question

For questions 1-2, find the x- and y- intercepts of the line.
1. -10x+5y=40
D: x-intercept is -4 ; y-intercept is 8

2. 5x+4y=80
D: x-intercept is 16 ; y-intercept is 20

3. Write y=1/6x+4 in standard form using integers
B: -x+6y=24

4.The 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 weight of kumquats k and Asian pears p that a customer could buy with $22.
A: 4.75k+2.25p=22

5. Graph the equation
x=-2
D: (graph with the vertical line on -2)

Answer 1

These are my answers for Linear Functions: Standard Form (unit 6, lesson 5)

Answer 2

just FYI, the intercept form for a line is
x/a + y/b = 1
if the intercepts are a and b.
So, for #1, just divide by 40 and you have
x/-4 + y/8 =1

Answer 3

x - intercept is point where y = 0

y - intercept is point where x = 0

1. Correct answer.

2.

5 x + 4 y = 80

x - intercept

5 x + 4 • 0 = 80

5 x = 80

x = 80 / 5 = 16

y - intercept

5 • 0 + 4 y = 80

4 y = 80

y = 80 / 4 = 20

3.

The standard form of a line is in the form:

Ax + By = C

where

A is a positive integer

B and C are integers

y = 1 / 6 x + 4

Multiply both sides by 6

6 y = x + 24

Subtract 6y to bith sides.

0 = x + 24 - 6 y

Subtract 24 y to bith sides.

- 24 = x - 6 y

x - 6 y = - 24

4. Correct answer.

5. Correct answer.