Point-Slope Form and Graphing Linear Equations Quiz

A line passes through the point (2, 3) and has a slope of 4. Write the equation of the line in point-slope form.

• y - 3 = 2(x - 2)

• y = 4x + 1

• y - 3 = 4(x + 2)

• y - 3 = 4(x - 2)

Convert the equation 3x - 2y = 6 into point-slope form. What is the slope and a point on the line?

• Slope: 1, Point: (2, 0)

• Slope: 3/2, Point: (0, -3)

• Slope: -3/2, Point: (0, 3)

• Slope: 2/3, Point: (1, 0)

A car rental company charges a flat fee of $50 plus $20 for each day the car is rented. Write the equation in point-slope form to represent the total cost (C) based on the number of days (d) rented.

• C - 20 = 50(d - 0)

• C - 50 = 15(d - 1)

• C - 50 = 20(d - 0)

• C = 20d + 50

Graph the equation y - 1 = 2(x + 3). What is the slope and y-intercept of the line?

• Slope: 1, Y-intercept: 5

• Slope: 3, Y-intercept: 4

• Slope: 0, Y-intercept: 1

• Slope: 2, Y-intercept: 7

A school is planning a fundraiser. They have a goal of raising $500. If they raise $50 for each item sold, write the equation in point-slope form to represent the total amount raised (R) based on the number of items sold (n).

• R = 50n + 100

• R - 0 = 50(n - 0)

• R - 500 = 50(n - 10)

• R - 0 = 25(n - 0)

Convert the point-slope equation y - 5 = -3(x - 1) into standard form. What are the x and y intercepts of the line?

• Standard form: 4x + y = 12; x-intercept: (3, 0); y-intercept: (0, 12)

• Standard form: 3x + y = 8; x-intercept: (8/3, 0); y-intercept: (0, 8)

• Standard form: 2x + y = 10; x-intercept: (5, 0); y-intercept: (0, 10)

• Standard form: 3x + y = 5; x-intercept: (5/3, 0); y-intercept: (0, 5)

A bike rental shop charges $15 for the first hour and $5 for each additional hour. Write the equation in point-slope form for the total cost (C) based on the number of hours (h) rented.

• C - 15 = 10(h - 1)

• C - 5 = 15(h - 1)

• C - 15 = 5(h - 1)

• C = 15h + 5

Graph the line represented by the equation 2x + 3y = 12. What is the slope of the line?

• 3/2

• -2/3

• 1

• -1/2

A local bakery sells cupcakes for $3 each. If they start with $30, write the equation in point-slope form to represent the total sales (S) based on the number of cupcakes sold (c).

• S - 30 = 3(c + 1)

• S - 30 = 2(c - 0)

• S - 30 = 3(c - 0)

• S = 3c + 30