Homework

Problem 1 · easy

Find the slope of the line through (1, 4) and (5, 12).

Problem 2 · easy

Find the slope of the line through (-3, 7) and (2, -3).

Problem 3 · easy

What is the slope of a horizontal line?

Problem 4 · easy

What is the slope of a vertical line?

Problem 5 · easy

Identify the slope and y-intercept of y = -5x + 3.

Problem 6 · easy

Write in slope-intercept form: y - 4 = 2(x - 1)

Problem 7 · easy

Find the equation of the line with slope -3 and y-intercept 5.

Problem 8 · medium

Write the equation of the line through (2, 5) with slope 4.

Problem 9 · medium

Write the equation of the line through (0, -2) and (4, 6).

Problem 10 · medium

Write the equation of the line through (-1, 3) and (4, -7).

Problem 11 · easy

Find the x-intercept of 2x + 3y = 12.

Problem 12 · easy

Find the y-intercept of 5x - 2y = 10.

Problem 13 · medium

Convert to standard form: y = 3x - 4.

Problem 14 · easy

Are y = 4x - 1 and y = 4x + 7 parallel, perpendicular, or neither?

Problem 15 · medium

Are y = (1/3)x + 2 and y = -3x + 5 parallel, perpendicular, or neither?

Problem 16 · easy

Are y = 2x + 1 and y = 3x - 1 parallel, perpendicular, or neither?

Problem 17 · medium

Find the equation of the line parallel to y = -2x + 5 through (3, 1).

Problem 18 · challenge

Find the equation of the line perpendicular to y = (2/3)x - 1 through (4, -2).

Problem 19 · easy

What is the equation of the horizontal line through (5, -3)?

Problem 20 · easy

What is the equation of the vertical line through (-2, 7)?

Problem 21 · medium

A cell phone plan has a $25/month fee plus $0.10 per text. Write as a linear function and state the slope.

Problem 22 · medium

Find the slope of a line perpendicular to the line through (0, 0) and (4, 2).

Problem 23 · medium

Convert to slope-intercept form: 6x - 3y = 15.

Problem 24 · easy

Find the equation of the line with undefined slope through (7, 4).

Problem 25 · challenge

A line passes through (0, 3) and (2, 0). Write in standard form.