Slope-Intercept Form
4.) Ricardo wants to pay off a new tablet computer he just bought. He makes monthly payments of $50. After 9 months, Ricardo has paid off half of the original price of the computer. What does the y-intercept for the graph of linear model represent for this situation?
Total/Original price of the computer
9.) What are the x- and y-intercepts of the graph of 3x + 4y = -24?
x-intercept = -8, y-intercept = -6
11.) Which lines are parallel to the graph of 3y + 2x = 9?
y = -2/3 x -10
OR
2x - 4y = 3
y = -2/3 x -10
10.) Jung-Soon has $25 to spend on prizes for a game at the school fair. Lip balm costs $1.25 each, and mini-notebooks cost $1.50 each. What equation in standard form determines the numbers of lip balms x and mini-notebooks y she can buy?
1.25x + 1.50y = 25
3.) Ricardo wants to pay off a new tablet computer he just bought. He makes monthly payments of $50. After 9 months, Ricardo has paid off half of the original price of the computer. Write a linear equation in slope intercept form to represent the money Ricardo owes after x months.
y = -50x + 900
9.) Graph the equation 3x + 4y = -24.
Check graphs where x-intercept = -8 and y-intercept = -6.
11.) Which 2 lines are parallel to the graph of 3y + 2x = 9?
12y + 4x = 36
y+ 5 = 3/2 (x - 2)
y - 1 = -2/3 (x - 4)
12y + 4x = 36
y - 1 = -2/3 (x-4)
5.) A rocket is launched 3 miles away from a nearby viewing site, which is represented by the origin on the coordinate plane. For which values of A, B, and C will Ax + By = C represent the line that includes the path of the rocket?
A = 1, B = 0, C = 3
8.) A candle has been burning for 45 min and is now 15 cm tall. In another hour it will be 5 cm tall. How many cm is the candle losing each minute?
1/6 cm
1.) What equation in slope-intercept form is equivalent to the equation 5x - 3y = 30?
y = 5/3 x - 10
14.) What is the slope of the line that is perpendicular to the graph of y = 5/6 x + 1/3?
-6/5
13.) Which 2 equations are equivalent to the equation 3x - 2y = -12?
y - 2 = 3/2 (x + 3)
y = -3/2 x -6
y = 3/2x + 6
y = 3/2 x - 6
-6x + 4y = 24
y = 3/2 x + 6
-6x + 4y = 24
8.) A candle has been burning for 45 min and is now 15 cm tall. In another hour it will be 5 cm tall. Which equation models the height of the candle, in cm, x minutes after it was lit?
y - 15 = -1/6 (x - 45)
3/2
14.) What is the equation in slope-intercept form of the line that passes through the point (-5, 7) and is perpendicular to the graph of y = 5/6 x + 1/3?
y = -6/5 x + 1
6.) The line shown represents the amount of money, in dollars, left on Leah's print shop card after she prints x sheets of paper. After paying for 2 printed sheets, she has a balance of $1.80. Which is an equation of the line in point-slope form?
y - 1.80 = -.60(x -2)
2.) After 5 visits to the gym, Jeff has a balance of $123.75 left on his card. After 11 visits, he has $74.25 left on the card. Which equation models the balance on his card, y, in terms of the number of visits to the gym, x?
y = -8.25x + 165
12.) Graph the equation 3x - 2y = -12.
Check graphs with y-intercept = 6 and slope = 3/2 or x-intercept = -4.
15.) AB of rectangle ABCD passes through the point (2,3) and is perpendicular to the graph of y = 1/4 x - 6. CD is parallel to AB and passes through point (5, -4). What is the equation in slope-intercept form of the line that includes CD?
y = -4x + 16
7.) Cody is driving to the Grand Canyon for vacation at an average speed of 65 mph. After 5 hours, he is 325 miles from home. Which equation, in point=slope form, represent his distance from the Grand Canyon, y, after x hours?
y - 325 = -65(x - 5)