Answer:
1. Below 2. B. d = 8h
Step-by-step explanation:
The graph is a bit confusing. But basically, substitute x for the numbers they give you.
5x
5 · 1 = 5 = y
5 · 2 = 10 = y
5 · 3 = 15 = y
5 · 4 = 20 = y
7x
7 · 1 = 7 = y
7 · 2 = 14 = y
7 · 3 = 21 = y
7 · 4 = 28 = y
Answer:
The point representing the y-intercept is: (0, -3)
The black dot represents the y-intercept on the attached graph. It is very clear at y = 0, x = -3.
The point representing the x-intercept is: (10.5, 0)
The red dot represents the x-intercept on the attached graph. It is very clear at x = 0, y = 10.5
Step-by-step explanation:
Given the linear equation
-2x+7y=-21
Determining the y-intercept
We know that the value of y-intercept can be determined by setting x = 0, and determining the corresponding value of y.
substituting x = 0 in the equation
-2x+7y=-21
-2(0) + 7y = -21
0+7y = -21
7y = -21
divide both sides by 7
7y/7 = -21/7
y = -3
Therefore, the point representing the y-intercept is: (0, -3)
The black dot represents the y-intercept on the attached graph. It is very clear at y = 0, x = -3.
Determining the x-intercept
We know that the value of x-intercept can be determined by setting y = 0, and determining the corresponding value of x.
substituting y = 0 in the equation
-2x+7y=-21
-2x+7(0) = -21
-2x + 0 = -21
-2x = -21
divide both sides by -2
-2x / -2 = -21 / -2
x = 21/2
x = 10.5
Therefore, the point representing the x-intercept is: (10.5, 0)
The graph of the linear equation containing the y-intercept (0, -3) and x-intercept (10.5, 0) is shown and attached below.
The red dot represents the x-intercept on the attached graph. It is very clear at x = 0, y = 10.5
Please check the attached graph.
