Question 1

Given the points $$A(2, 4)$$ and $$B(6, 12)$$, what is the equation of the line passing through these points in slope-intercept form?

Accepted Answer

$$y = 2x$$

Question 2

What is the slope of the line passing through the points $$(-3, 7)$$ and $$(5, -1)$$?

Accepted Answer

$$m = -1$$

Question 3

If a line has the equation $$y = -\frac{3}{2}x + 5$$, what is the $$y-$$intercept?

Accepted Answer

$$5$$

Question 4

Which of the following points lies on the line $$y = 4x - 7$$?

Accepted Answer

$$(3, 5)$$

Question 5

A real-world scenario: A taxi charges a flat fee of $$\3$ plus $$\$$2$$ per mile. Which equation models the total cost $$C$$ for $$x$$ miles?

Accepted Answer

$$C = 2x + 3$$

Question 6

Find the equation of the line parallel to $$y = -\frac{1}{2}x + 4$$ that passes through the point $$(2, 3).$$

Accepted Answer

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

Question 7

If the line $$y = mx + b$$ passes through $$(1, 2)$$ and $$(3, 10)$$, what are the values of $$m$$ and $$b$$?

Accepted Answer

$$m = 4, b = -2$$

Question 8

Which of the following is the correct slope-intercept form for a line with slope $$-3$$ and passing through $$(0, 7)$$?

Accepted Answer

$$y = -3x + 7$$

Question 9

A line passes through $$(4, -2)$$ and has a slope of $$\frac{1}{2}. $$What is its equation in point-slope form?

Accepted Answer

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

Question 10

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

Accepted Answer

$$\frac{2}{3}$$

Slope and Equation of a Line: Finding the Equation from Two Points

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