Question 1

Which of the following is the point-slope form of the equation of a line with a slope of $$4$$ that passes through the point $$(1, 2)$$?

Accepted Answer

$$y - 2 = 4(x - 1)$$

Question 2

Given the equation $$y - 2 = 4(x - 1)$$, what is the $$y-$$intercept of the line?

Accepted Answer

Question 3

Convert the point-slope form $$y - 2 = 4(x - 1) to $$slope-intercept form.

Accepted Answer

$$y = 4x - 2$$

Question 4

A line passes through $$(1, 2)$$ and has a slope of $$4. $$Which of the following points also lies on the line?

Accepted Answer

$$(2, 6)$$

Question 5

If a line has the equation $$y = 4x - 2$$, what is the slope of the line perpendicular to it?

Accepted Answer

$$-\frac{1}{4}$$

Question 6

Which of the following equations represents a line parallel to $$y = 4x - 2$$ and passing through $$(0, 5)$$?

Accepted Answer

$$y = 4x + 5$$

Question 7

What is the equation of a line with slope $$4$$ that passes through the origin?

Accepted Answer

$$y = 4x$$

Question 8

If the equation of a line is $$y = mx + b$$ and it passes through $$(1, 2)$$ with $$m = 4$$, what is the value of $$b$$?

Accepted Answer

$$b = -2$$

Question 9

Which of the following is the general form of the equation $$y = 4x - 2$$?

Accepted Answer

$$4x - y - 2 = 0$$

Question 10

A real-world scenario: A taxi charges a base fare of $$2$$ dollars and $$4$$ dollars per mile. Which equation models the total cost $$y$$ for $$x$$ miles?

Accepted Answer

$$y = 4x + 2$$

Slope-Intercept Form and Graphing Linear Equations

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