Station 2: Linear Key Features

What type of slope does the graph have?

• Zero

• Undefined

• Negative

• Positive

Answer explanation

The graph has a zero slope, indicating that it is horizontal. This means there is no change in the y-value as the x-value changes, confirming the correct answer is Zero.

Tags

CCSS.8.EE.B.5

What type of slope does the following graph have?

• Postive

• Negative

• Zero Slope

• Undefined

Answer explanation

The graph has a negative slope because as the x-values increase, the y-values decrease. This indicates a downward trend, confirming that the correct answer is 'Negative'.

Tags

CCSS.8.EE.B.5

Find the slope of the line that passes through (10, -8) and (1, 12).

• 20/9

• -20/9

• 4/9

• 9/4

Answer explanation

Use Desmos!

Type the two perfect points in Line 1. Then type y1 ~ mx1 + b in line 2.

m= -20/9.

Tags

CCSS.8.EE.B.5

Find the slope

• -5/7

• 7/5

• -7/5

• 5/7

Answer explanation

Use Desmos!

Type the two perfect points in Line 1. Then type y1 ~ mx1 + b in line 2.

m= 7/5

Tags

CCSS.8.EE.B.5

What is the x-intercept shown on the graph?

• (2, 0)

• (-2, 0)

• (0, 3)

• (3, 0)

Answer explanation

The x-intercept is the point where the graph crosses the x-axis, which occurs when y=0. The correct x-intercept is (-2, 0), as it indicates the graph touches the x-axis at x = -2.

What is the y-intercept shown on the graph?

• (0, -2)

• (3, 0)

• (0, 3)

• None of these.

Answer explanation

The y-intercept is the point where the graph crosses the y-axis, which occurs at (0, 3). This means when x = 0, the value of y is 3, making (0, 3) the correct choice.

What is the y-intercept in the equation y= -2x + 5

• -2

• 3

• 5

• Cannot be Determined

Answer explanation

In the equation y = -2x + 5, the y-intercept is the value of y when x = 0. Substituting x = 0 gives y = 5. Therefore, the y-intercept is 5.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Given the table of values, which point is a y-intercept?

• -6

• 38

• 44

• 32

Answer explanation

The y-intercept is the point where a line crosses the y-axis, which occurs when x=0. In the given options, 32 is the only value that can represent a y-intercept, as it indicates the y-coordinate at that point.

Tags

CCSS.HSF-IF.C.7A

Determine the y-intercept for the following equation
4x + 2y = -12

• 4

• -6

• -12

• 2

Answer explanation

To find the y-intercept, set x = 0 in the equation 4x + 2y = -12. This gives 2y = -12, so y = -6. Thus, the y-intercept is -6.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Find the y intercept:

-6x + 9y = 54

• (0,-9)

• (-9,0)

• (0,6)

• (6,0)

Answer explanation

To find the y-intercept, set x = 0 in the equation -6x + 9y = 54. This gives 9y = 54, so y = 6. Thus, the y-intercept is (0, 6), which is the correct answer.