Please create a meticulously detailed illustration of a graph that displays a line, meticulously marked with points that denote the x-intercept and the y-intercept. These points of intersection are explicitly calculated and labeled, with notation showing the mathematical process that was employed. The graph is rendered with precision, demonstrating the mathematics at play visually. It is set against a white background to add clarity and to place focus on the data being depicted by the graph.

For question 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 = 1/6 x + 4 in standard form using integers.
A. -x - 6y = 24
B. -x + 6y = 24***
C. -x + 6y = 4
D. 6x - y = 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 weights of kumquats k and Asian pears p that a customer could buy with $22.
A. 4.75k + 2.25p = 22***
B. 4.75 = 2.25p + 22
C. 4.75 + 2.25 = k
D. 4.75k + 2.25k = 22

5. Graph the equation. (Idk how to put pics in here so I just put what letter I think it is) x = -2
A
B
C
D***

Pls check my work! Thank you!

All Your Answers are right !

D
D
B
A
D
100% <3

jojo was right thanks shawty

jojo is correct

CONNEXUS

6.5.6 - Quick Check: Standard Form
1. D
2. D
3. B
4. A
5. D
ALL 100% CORRECT.
THX! ; )

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

2. x-intercept is 16; y-intercept is 20
3. -x + 6y = 24
4. 4.75k + 2.25p = 22
5. Graph D, Vertical line on the left side.

6.5.6 QC (Standard Form)

jojo<3 is still correct, for me at least
D
D
B
A
D

all look good

x = -2 is a vertical line

behind asf thank you jojo

jojo is still right thx

Find the x- and y- intercept of the line: -10x + 5y = 40

Answer- D. x- intercept is -4, y- intercept is 8.

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

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 weights of kumquats k and Asian pears p customers could buy with 22.
Answer- A. 4.75k + 2.25p = 22

Graph the equation: x = -2
Answer- D. the graph that has a straight line going down on the left side of the graph.

Compare the function 3x + 3y = 12 to the function graphed in the following image.
Answer- C. The two functions have the same x- intercept