Question 1

Which of the following is the correct equation of a line in standard form, where the slope is $$-45$$ and the y-intercept is $$-2$$?

Accepted Answer

$$45x + y = -2$$

Question 2

Given the point $$(-4, 1)$$ and a slope of $$3$$, what is the equation of the line in slope-intercept form?

Accepted Answer

$$y = 3x + 13$$

Question 3

Which of the following is the correct point-slope form for a line passing through $$(2, 4)$$ with slope $$-12$$?

Accepted Answer

$$y - 4 = -12(x - 2)$$

Question 4

Find the slope of the line passing through the points $$(3, 4)$$ and $$(-2, 6).$$

Accepted Answer

$$m = -\frac{2}{5}$$

Question 5

Which equation represents a vertical line passing through $$(-3, 2)$$?

Accepted Answer

$$x = -3$$

Question 6

Given the line $$4x + 2y = 9$$, what is the slope of a line parallel to it?

Accepted Answer

$$m = -2$$

Question 7

Given the line $$4x + 2y = 9$$, what is the slope of a line perpendicular to it?

Accepted Answer

$$m = \frac{1}{2}$$

Question 8

Find the equation of the line passing through $$(6, -2)$$ and perpendicular to $$2x + 5y = 4 in $$slope-intercept form.

Accepted Answer

$$y = \frac{5}{2}x - 17$$

Question 9

Which of the following is the equation of a line parallel to $$x - 3y = 5$$ and passing through $$(-1, 4) in $$standard form?

Accepted Answer

$$x - 3y = -13$$

Question 10

Which of the following best describes the relationship between the slopes of two perpendicular lines?

Accepted Answer

Their slopes are negative reciprocals.

Question 11

A horizontal line passes through the point $$(5, -3). $$What is its equation?

Accepted Answer

$$y = -3$$

Question 12

Given two points $$(x_1$, y_1$)$$ and $$(x_2$, y_2$)$$, what is the formula for the slope $$m$$?

Accepted Answer

$$m = \frac{y_2$ - y_1$}{x_2$ - x_1$}$$

Question 13

Which of the following is the correct standard form for a line with slope $$\frac{2}{3}$$ and y-intercept $$-4$$?

Accepted Answer

$$2x - 3y = 12$$

Question 14

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

Accepted Answer

$$-\frac{2}{5}$$

Question 15

Which of the following equations represents a line with an undefined slope?

Accepted Answer

$$x = 3$$

Question 16

A line passes through $$(2, -5)$$ and $$(-4, 3). $$What is its slope?

Accepted Answer

$$m = -\frac{4}{3}$$

Question 17

Which of the following is the correct slope-intercept form for a line passing through $$(3, 4)$$ and $$(-2, 6)$$?

Accepted Answer

$$y = -\frac{2}{5}x + \frac{22}{5}$$

Question 18

Which of the following is NOT a property of the standard form $$Ax + By = C$$?

Accepted Answer

$$B$$ must be positive

Question 19

If two lines are parallel, which of the following must be true?

Accepted Answer

They have the same slope.

Question 20

Which of the following is the correct equation for a line with slope $$0$$ passing through $$(7, -2)$$?

Accepted Answer

$$y = -2$$

Equations of Lines and Their Properties in College Algebra

스터디 가이드 - 연습 문제