Understanding Slope and Y-Intercept

• 5

• 3

• -3

• 0

Answer explanation

In the equation y = 3x + 5, the slope is the coefficient of x. Here, the coefficient is 3, which indicates the slope of the line. Therefore, the correct answer is 3.

Tags

CCSS.8.EE.B.5

• -2

• 7

• -7

• 2

Answer explanation

The y-intercept is the value of y when x is 0. In the equation y = -2x + 7, substituting x = 0 gives y = 7. Therefore, the y-intercept is 7.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Answer explanation

To convert to slope-intercept form, solve for y: 3y = -2x + 6, then y = -\frac{2}{3}x + 2. The correct choice is y = -\frac{2}{3}x + 2.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

• The line rises 4 units for every 1 unit it moves to the right.

• The line falls 4 units for every 1 unit it moves to the right.

• The line rises 1 unit for every 4 units it moves to the right.

• The line falls 1 unit for every 4 units it moves to the right.

Answer explanation

In the equation y = 4x - 1, the slope is 4. This means that for every 1 unit the line moves to the right (increasing x), it rises 4 units (increasing y). Thus, the correct interpretation is that the line rises 4 units for every 1 unit it moves to the right.

Tags

CCSS.8.EE.B.5

• -2

• 3

Answer explanation

In the equation y = -\frac{1}{2}x + 3, the slope is the coefficient of x. Here, it is -\frac{1}{2}, which indicates a negative slope. Therefore, the correct answer is -\frac{1}{2}.

Tags

CCSS.8.EE.B.5

• 5

• -9

• 9

• 0

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 = 5x - 9, substituting x = 0 gives y = -9. Therefore, the y-intercept is -9.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Answer explanation

To convert the equation 4x - y = 8 to slope-intercept form (y = mx + b), isolate y: y = 4x - 8. Thus, the correct answer is y = 4x - 8.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

• The line crosses the y-axis at (0, -3).

• The line crosses the y-axis at (0, 4).

• The line crosses the x-axis at (4, 0).

• The line crosses the x-axis at (-3, 0).

Answer explanation

The y-intercept in the equation y = -3x + 4 is 4, which means the line crosses the y-axis at the point (0, 4). This represents the value of y when x is 0.

Tags

CCSS.HSF-IF.C.7A

• 2

• -2

Answer explanation

The slope of a linear equation in the form y = mx + b is represented by m. In the equation y = \frac{3}{4}x - 2, the slope is \frac{3}{4}. Therefore, the correct answer is \frac{3}{4}.

Tags

CCSS.8.EE.B.5

• -1

• 6

• -6

• 1

Answer explanation

To find the y-intercept of the equation y = -x + 6, set x to 0. This gives y = 6. Therefore, the y-intercept is 6, which is the correct answer.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3