What is the slope of the line that passes through the points(-4, 0) and (2, 0)?
Write your answer in simplest form.

Given:

Two points are (-4, 0) and (2, 0).

To find:

The slope of the line that passes through the given points.

Solution:

The line passes through the points (-4, 0) and (2, 0). So, the slope of the line is

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\dfrac{0-0}{2-(-4)}[/tex]

[tex]m=\dfrac{0}{2+4}[/tex]

[tex]m=\dfrac{0}{6}[/tex]

[tex]m=0[/tex]

Therefore, the slope of the line that passes through the points (-4, 0) and (2, 0) is 0.

Instructions: Find the missing side. Round your answer to the nearest tenth.

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lt gains weight as it grows, and is 35 pounds at age 1 year.
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Solve the following quadratic equation for all values of x in simplest form.
3(x - 2)2 – 37 = 20

10, 8, 6, ...

Find the next term in the sequence.

Look at the graph shown below:

A coordinate plane is shown. A line passes through the point −4 comma 1 and through the y-axis at 4.

Which equation best represents the line?

y = 3 over 4.x + 4
y = 4 over 3.x + 4
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Question 2(Multiple Choice Worth 4 points)
(04.07A)
Two quantities are related, as shown in the table below:


x y
2 2
4 5
6 8
8 11


Which equation best represents the relationship?
y = 3 over 2x + 2
y = 3 over 2x
y = 3 over 2x − 1
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Question 3(Multiple Choice Worth 4 points)
(04.07A)
Two right triangles are graphed on a coordinate plane. One triangle has a vertical side of 2 and a horizontal side of 6. The other triangle has a vertical side of 10 and a horizontal side of 30.

Could the hypotenuses of these two triangles lie along the same line?

No, because they are not similar triangles
No, because one is larger than the other
Yes, because they are both right triangles
Yes, because they are similar triangles
Question 4(Multiple Choice Worth 4 points)
(04.07A)
A line passes through (3, 7) and (6, 9). Which equation best represents the line?

y = 3 over 2x + 5
y = 2 over 3x + 5
y = 3x + 2
y = 2 over 3x + 2
Question 5(Multiple Choice Worth 4 points)
(04.07A)
What is the y-intercept of the line shown?

A coordinate plane is shown. A line passes through the y-axis at 3 and through the point 2 comma 4.

0
1
3
3.5