Slope and Intercept for Equations

In the equation y = 2x - 7, what is the slope?

• 2x

• x

• 2

• -7

• 7

What is the y-intercept for the graph of y = -3x - 8?

• (0, -8)

• (-3, 0)

• (-3, -8)

• There is no y-intercept.

In the slope-intercept form, y = mx + b, what variable represents the slope?

• y

• m

• x

• b

In the slope-intercept form, y = mx + b, what variable may be used to help identify the y-intercept?

• y

• m

• x

• b

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

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

What is true about the slope for the graph of y = 6x - 11?

• It is positive.

• It is negative.

• It is parallel.

• It is perpendicular.

What must be true about the y-intercept for the graph of y = 7 - 8x? Choose the best answer.

• It is 8 units below the Origin.

• It is 8 units above the Origin.

• It is 7 units below the Origin.

• It is 7 units above the Origin.