5.1 Graph an Equation of a Line, Given a Linear Equation

Find the slope

• -5/3

• -3/5

• 5/3

• 3/5

Answer explanation

To find the slope, use the formula (change in y) / (change in x). Given the values, the slope calculates to -5/3, making -5/3 the correct choice.

Tags

CCSS.8.EE.B.5

What type of slope?

• undefined

• positive slope

• negative slope

• zero slope

Answer explanation

A zero slope indicates a horizontal line where the y-value remains constant regardless of the x-value. This means there is no rise over run, confirming the correct choice is zero slope.

Tags

CCSS.8.EE.B.5

What type of slope?

• negative

• steep

• undefined

• zero slope

Answer explanation

The slope is undefined when a line is vertical, meaning it has no horizontal change. This is the case when the x-coordinates are the same, resulting in a division by zero in the slope formula, hence the correct answer is 'undefined'.

Tags

CCSS.8.EE.B.5

Answer explanation

The slope of a line in the slope-intercept form y = mx + b is given by the coefficient of x. Here, m = \frac{1}{5}, so the correct choice is m = \frac{1}{5}.

Tags

CCSS.8.EE.B.5

Given that the slope is  -4 and the y intercept is -4 what is the equation of the line?

• y = 4x - 4

• y = -4x - 4

• y = -4

• y = -4x + 4

Answer explanation

The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept. Here, m = -4 and b = -4, so the equation is y = -4x - 4, which matches the correct answer.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Identify the slope and y intercept in the equation of the line: y = -1/3x + 1

• Slope: 1/3
  y-intercept: 1

• Slope: 1/3
  y-intercept: -1

• Slope: -1/3
  y-intercept: 1

• Slope: -1/3
  y-intercept: 0

Answer explanation

In the equation y = -1/3x + 1, the slope is the coefficient of x, which is -1/3, and the y-intercept is the constant term, which is 1. Therefore, the correct choice is Slope: -1/3 and y-intercept: 1.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Which equation matches the graph? (Click me to see the image)

• y = -1/4x + 2

• y = 1/4x + 2

• y = 1x + 4

• y = 4x + 2

Answer explanation

The correct equation is y = 1/4x + 2, as it has a positive slope indicating the line rises as x increases, and the y-intercept is at 2, matching the graph's characteristics.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Write the equation for the line in slope-intercept form.

• y=-1x+3

• y=4x+3

• y=¼x+3

• y=-4x+3

Answer explanation

The slope-intercept form of a line is given by y = mx + b, where m is the slope and b is the y-intercept. The correct choice, y = 4x + 3, has a slope of 4 and a y-intercept of 3, fitting this form.

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

Which equation is being represented by this line?

• y = -1x + 2

• y = 1/2x + 2

• y = 3x -4

• y = -3x +2

Answer explanation

The line has a slope of -1 and a y-intercept of 2, which matches the equation y = -1x + 2. The other options have different slopes or intercepts, making them incorrect.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Identify the slope-intercept equation for the graph:

• y = 2x - 2

• y = -2x + 2

• y = -2x + 4

• y = 2x + 4

Answer explanation

The correct slope-intercept equation is y = 2x + 4, which indicates a slope of 2 and a y-intercept of 4. This matches the graph's characteristics, confirming it as the right choice.

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSS.ID.C.7