Slope and Y-Intercept

Find the equation of the line with a slope of 1/2 and a y-intercept of -3.

• y = 2x - 3

• y = -x/2 - 3

• y = (1/2)x - 3

• y = 1/2x + 3

Answer explanation

The equation of a line is given by y = mx + c, where m is the slope and c is the y-intercept. In this question, we are given a slope of 1/2 and a y-intercept of -3. Therefore, the correct equation of the line is y = (1/2)x - 3, which matches one of the provided options.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Find the equation of the line with a slope of 3/4 and a y-intercept of 2.

• y = (4/3)x + 2

• y = (3/4)x - 2

• y = (3/4)x + 4

• y = (3/4)x + 2

Answer explanation

The equation of a line can be written in the form y = mx + b, where m is the slope and b is the y-intercept. In this question, the slope is 3/4 and the y-intercept is 2. Plugging these values into the equation, we get y = (3/4)x + 2, which is the correct choice.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Find the slope of the line passing through the points (-3, 5) and (2, -1).

• 7/5

• -6/5

• 3/2

• -1/6

Answer explanation

To find the slope of the line passing through the points (-3, 5) and (2, -1), we can use the formula: slope = (y2 - y1) / (x2 - x1). Plugging in the coordinates, we get (-1 - 5) / (2 - (-3)) = -6 / 5. Therefore, the correct answer is -6/5.

Tags

CCSS.8.EE.B.5

Find the slope of the line passing through the points (5, -3) and (-1, 2).

• 7/8

• -5/6

• -3/5

• 1/6

Answer explanation

The slope of a line passing through two points (x1, y1) and (x2, y2) is calculated using the formula (y2 - y1) / (x2 - x1). Substituting the given points (5, -3) and (-1, 2) into the formula, we get (2 - (-3)) / (-1 - 5) = -5/6. Hence, the correct answer is -5/6.

Tags

CCSS.8.EE.B.5

What is the slope of the line shown in the graph below? (graph with a line going from the point (1, 3) to the point (5, 3))

• 1

• 3

• 5

• 0

Answer explanation

The slope of a line is calculated by the change in y divided by the change in x. In the given graph, the line goes from the point (1, 3) to the point (5, 3). The change in y is 0 (3-3) and the change in x is 4 (5-1). Therefore, the slope of the line is 0/4 which equals 0. Hence, the correct answer is 0.

Tags

CCSS.8.EE.B.5

Find the slope of the line passing through the points (2, 4) and (6, 8).

• 1

• 4

• 3

• 2

Answer explanation

To find the slope of the line passing through the points (2, 4) and (6, 8), we can use the formula: slope = (y2 - y1) / (x2 - x1). Plugging in the coordinates, we get (8 - 4) / (6 - 2) = 4 / 4 = 1. Therefore, the correct choice is 1.

Tags

CCSS.8.EE.B.5

Given the equation y = -5x - 1, what is the y-intercept?

• -1

• 1

• 5

• 0

Answer explanation

In the equation y = -5x - 1, the y-intercept is the value of y when x = 0. Plugging in x = 0, we get y = -5(0) - 1, which simplifies to y = -1. Therefore, the y-intercept is -1.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Find the slope and y-intercept of the equation y = 2x + 3.

• Slope: 3, Y-intercept: 2

• Slope: 2, Y-intercept: 2

• Slope: 3, Y-intercept: 3

• Slope: 2, Y-intercept: 3

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Determine the slope and y-intercept of the equation y = -5x + 2.

• -2, 5

• 5, -2

• -5, 2

• 2, -5

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

What is the slope and y-intercept of the equation y = 0.5x - 1?

• 0.5, 1

• 1, -0.5

• 0.5, -1

• -0.5, 1

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3