Slope and Intercept Word Problems

Label the slope in the given problem.
Miles makes tacos at a restaurant. He has already made 8 tacos, and can make 3 tacos per minute.

• m = 8

• m = 3

• m = 11

• m = 5

Label the y-intercept in the given problem.

Miles makes tacos at a restaurant. He has already made 8 tacos, and can make 3 tacos per minute.

• b = 8

• b = 3

• b = 11

• b = 5

Label the slope in the given problem:

Nicholas received $100 for his birthday. He earns $20 per day babysitting.

• m = 100

• m = 20

• m = 120

• m = 80

Label the y-intercept in the given problem:
Nicholas received $100 for his birthday. He earns $20 per day babysitting.

• b = 100

• b = 20

• b = 120

• b = 80

Shari takes violin lessons. The equation 288x – 4y = -192 relates y, the total cost of the lessons, and x, the number of lessons. Shari incorrectly states that the slope of the line is 288. Why did Shari think that 288 was the slope? Choose one option from each drop-down menu to answer the question.

• write the equation in slope-intercept form.

• coefficient of x

• coefficient of y

• divide -192 by 4

• divide 288 by -4

• -48

• 72

• -72

• 48

• constant term

Shari takes violin lessons. The equation 288x – 4y = -192 relates y, the total cost of the lessons, and x, the number of lessons. Shari incorrectly states that the slope of the line is 288. Why did Shari think that 288 was the slope? Choose one option from each drop-down menu to answer the question. Shari thought that the ​ (a)   was the slope. She forgot to ​ (b)   . The correct slope is ​ ​ (c)   .

• write the equation in slope-intercept form.

• coefficient of x

• coefficient of y

• divide -192 by 4

• divide 288 by -4

• -48

• 72

• -72

• 48

• constant term

Shari takes violin lessons. The equation 288x – 4y = -192 relates y, the total cost of the lessons, and x, the number of lessons. Shari incorrectly states that the slope of the line is 288. Why did Shari think that 288 was the slope? Choose one option from each drop-down menu to answer the question. Shari thought that the ​ (a)   was the slope. She forgot to ​ (b)   . The correct slope is ​ ​ (c)   .

• write the equation in slope-intercept form.

• coefficient of x

• coefficient of y

• divide -192 by 4

• divide 288 by -4

• -48

• 72

• -72

• 48

• constant term

Shari takes violin lessons. The equation 288x – 4y = -192 relates y, the total cost of the lessons, and x, the number of lessons. Shari incorrectly states that the slope of the line is 288. Why did Shari think that 288 was the slope? Choose one option from each drop-down menu to answer the question. Shari thought that the ​ (a)   was the slope. She forgot to ​ (b)   . The correct slope is ​ ​ (c)   .

• write the equation in slope-intercept form.

• coefficient of x

• coefficient of y

• divide -192 by 4

• divide 288 by -4

• -48

• 72

• -72

• 48

• constant term

In order to join an online learning community, there is a $20 startup fee and a $5 monthly fee. Write an equation in slope-intercept form that models this situation.

Shari takes violin lessons. The equation 288x – 4y = -192 relates y, the total cost of the lessons, and x, the number of lessons. Shari incorrectly states that the slope of the line is 288. Why did Shari think that 288 was the slope? Choose one option from each drop-down menu to answer the question. Shari thought that the ​ (a)   was the slope. She forgot to ​ (b)   . The correct slope is ​ ​ (c)   .

• write the equation in slope-intercept form.

• coefficient of x

• coefficient of y

• divide -192 by 4

• divide 288 by -4

• -48

• 72

• -72

• 48

• constant term