How to find the equation of a line

Practice Questions

Intermediate Geometry › How to find the equation of a line

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1

If the -intercept of a line is , and the -intercept is , what is the equation of this line?

2

Write the equation for the line passing through the points and

3

Find the equation of a line that goes through the points and .

4

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Refer to the above figures. To the left is the graph of the equation

What inequality is graphed at right?

5

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Refer to the above diagrams. At left is the graph of the equation

At right is the graph of the equation

$y= -\frac{1}{2}x-4$

Which of the following is a graph of the system of linear inequalities

$y \le 2x+ 8$

$y \le -\frac{1}{2}x-4$

6

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Which of the following inequalities is graphed above?

7

Find the equation of a line that goes through the points and .

8

Find the equation for a line passing through the points and .

9

Find the equation of a line that goes through the points and .

10

Given two points $\left ( -3,-3 \right )$ and $\left ( -1,1 \right )$ , find the equation for the line connecting those two points in slope-intercept form.

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