Question 1

Given the equation of a line with a slope of $$m = 2$$ and passing through the point $$(1, -3)$$, what is the equation of the line in slope-intercept form?

Accepted Answer

$$y = 2x - 5$$

Question 2

Which of the following is the correct slope-intercept form of a line that passes through $$(0, 4)$$ and has a slope of $$-1$$?

Accepted Answer

$$y = -x + 4$$

Question 3

If a line passes through the points $$(2, 5)$$ and $$(4, 9)$$, what is the slope of the line?

Accepted Answer

$$m = 2$$

Question 4

A line has the equation $$y = -\frac{1}{2}x + 3. $$What is the $$y-$$intercept of this line?

Accepted Answer

$$3$$

Question 5

Which of the following equations represents a line parallel to $$y = 2x + 1$$ and passing through $$(0, -4)$$?

Accepted Answer

$$y = 2x - 4$$

Question 6

What is the equation of the line perpendicular to $$y = \frac{1}{3}x + 2$$ and passing through $$(3, 1)$$?

Accepted Answer

$$y = -3x + 10$$

Question 7

If the equation of a line is $$2x - 3y = 6$$, what is the slope of the line?

Accepted Answer

$$m = \frac{2}{3}$$

Question 8

A real-world scenario: A taxi charges a flat fee of $$\5$ plus $$\$$2$$ per mile. Which equation models the total cost $$C$$ for $$x$$ miles?

Accepted Answer

$$C = 2x + 5$$

Question 9

Which of the following points lies on the line $$y = -x + 2$$?

Accepted Answer

$$(1, 1)$$

Question 10

If a line passes through $$(0, 0)$$ and $$(4, 8)$$, what is its equation in slope-intercept form?

Accepted Answer

$$y = 2x$$

Graphing Linear Equations: Slope and Y-Intercept

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