Pre-Alg Graph Linear Equations

• -1/4

• 1/4

• 2

• -2

Answer explanation

The slope of a linear equation in the form y = mx + b is given by the coefficient of x, which is m. In this case, m = -1/4, so the slope is -1/4.

Tags

CCSS.8.EE.B.5

Answer explanation

The equation is in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept. Here, the slope is \frac{3}{4} and the y-intercept is -4, making the correct choice: Slope: \frac{3}{4}, y-intercept: -4.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

• Slope: -6, y-intercept: -1

• Slope: 6, y-intercept: 1

• Slope: -1, y-intercept: -6

• Slope: 1, y-intercept: 6

Answer explanation

In the equation y = -6x - 1, the slope is the coefficient of x, which is -6, and the y-intercept is the constant term, which is -1. Therefore, the correct choice is Slope: -6, y-intercept: -1.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

• 5

• 2

Answer explanation

The slope of a linear equation in the form y = mx + b is represented by m. In the equation y = \frac{5}{2}x + 5, the slope is \frac{5}{2}, making it the correct choice.

Tags

CCSS.8.EE.B.5

• -5

• 5

Answer explanation

The slope of the equation in slope-intercept form (y = mx + b) is represented by 'm'. Here, 'm' is -\frac{2}{5}, making the correct answer -\frac{2}{5}.

Tags

CCSS.8.EE.B.5

• 1

• x

• y

Answer explanation

The slope of the equation y = \frac{1}{4}x + 1 represents the rate of hair growth per week. Here, the slope is \frac{1}{4}, indicating that the Havanese grows \frac{1}{4} inch of hair each week after a trim.

Tags

CCSS.HSF.LE.B.5

• 8

• -2/3

• 0

• -8

Answer explanation

The y-intercept of a linear equation in the form y = mx + b is the value of y when x = 0. In the equation y = -\frac{2}{3}x + 8, the y-intercept is 8, which is the correct answer.

Tags

CCSS.HSF-IF.C.7A

• 24

• 144

• 0

• -144

Answer explanation

In the equation y = 24x + 144, the y-intercept is the value of y when x = 0. Substituting x = 0 gives y = 144. Therefore, the y-intercept is 144, making the correct answer 144.

Tags

CCSS.HSF-IF.C.7A

• 15

• -3/5

• 0

• -15

Answer explanation

In the equation y = -\frac{3}{5}x + 15, the y-intercept is the value of y when x = 0. Substituting x = 0 gives y = 15. Therefore, the y-intercept is 15.

Tags

CCSS.HSF.LE.B.5

11. The distance y in miles showing on a GPS for x hours of a trip is represented by the equation y = -60x + 756. What does the slope of the equation represent?

• The speed of the vehicle in miles per hour

• The total distance of the trip in miles

• The time taken for the trip in hours

• The starting point of the trip in miles

Answer explanation

The slope of the equation, -60, represents the speed of the vehicle in miles per hour. It indicates that for each hour of travel, the distance decreases by 60 miles.

Tags

CCSS.HSF.LE.B.5