Slope-Intercept Form Review

Which type of equation must be a straight line?

• Neither

• Linear

• Non-Linear

• Both

Answer explanation

A linear equation is defined as an equation of the first degree, which graphs as a straight line. Non-linear equations, on the other hand, can produce curves or other shapes. Therefore, the correct answer is 'Linear'.

Tags

CCSS.8.F.A.3

Which type of table must go up or down at a constant rate?

• Linear

• Non-Linear

• Both

• Neither

Answer explanation

A linear table represents a constant rate of change, meaning it increases or decreases at a steady pace. Non-linear tables do not maintain a constant rate, as their values change at varying rates.

Tags

CCSS.8.F.A.3

• y=16 +x

• y=16x

• 16

• 32

Answer explanation

The runner completed 4 miles in \frac{1}{4} hour, which means he runs 16 miles in 1 hour (4 miles ÷ \frac{1}{4} hour = 16 miles/hour). Thus, the equation for miles run in x hours is y = 16x.

Tags

CCSS.6.EE.C.9

The price of a video game was reduced from $60 to $45. By what percentage was the price of the video game reduced?

• 15%

• 25%

• 75%

• 40%

Answer explanation

The price was reduced by $60 - $45 = $15. To find the percentage reduction, divide the reduction by the original price: ($15 / $60) * 100 = 25%. Thus, the price was reduced by 25%.

In science class, Antonio and Anna were measuring the approximate speed of a marble as it exits from an 8-foot-long ramp. They discovered that it took 2.1 seconds for the marble to travel 12.5 feet from the end of the ramp.

If , where d is distance in feet and t is time in seconds, approximately how fast was the marble traveling as it exited from the ramp to the nearest hundredth of a second?

• 5.95 ft/second

• 9.76 ft/second

• 16.80 ft/second

• 26.25 ft/second

Answer explanation

To find the speed, use the formula speed = distance/time. The marble traveled 12.5 feet in 2.1 seconds. Thus, speed = 12.5 ft / 2.1 s = 5.95 ft/second, which is the correct answer.

Tags

CCSS.HSF-LE.A.1B

What is the equation of a line when m = -7 and b = -8?

• y = -7x + 8

• y = -7x - 8

• y = 7x - 8

• y = 7x + 8

Answer explanation

The equation of a line is given by y = mx + b. Here, m = -7 and b = -8, so the equation becomes y = -7x - 8. Thus, the correct answer is y = -7x - 8.

Tags

CCSS.8.F.A.3

CCSS.8.EE.B.6

Find the slope of the line

• -2

• 2

• -1

• 1

Answer explanation

The slope of a line is calculated as the change in y over the change in x. If the line decreases by 1 unit in y for every 1 unit increase in x, the slope is -1. Thus, the correct answer is -1.

Tags

CCSS.8.EE.B.5

What is the y-intercept of the line graphed below?

• 3

• 4

• -3

• 4/3

Answer explanation

The y-intercept of a line is the point where it crosses the y-axis. In the graph, this occurs at the point (0, 4), indicating that the y-intercept is 4.

Write the equation of the line.

• y= -1x-3

• y= -3x-1

• y= -3x-3

Answer explanation

The equation of the line is in slope-intercept form, y = mx + b. The correct choice, y = -3x - 3, has a slope of -3 and a y-intercept of -3, matching the required format for a linear equation.

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.

• y=20x+5

• y=5x+20

Answer explanation

The equation in slope-intercept form is y = mx + b, where m is the monthly fee and b is the startup fee. Here, the monthly fee is $5 (m=5) and the startup fee is $20 (b=20), resulting in y=5x+20.