Unit 5 Review

What type of slope is shown in the image?

• Positive

• Negative

• Zero

• Undefined

Answer explanation

The slope shown in the image is undefined because it is a vertical line, which does not have a defined slope.

What type of slope is shown in the image?

• Positive

• Negative

• Zero

• Undefined

Answer explanation

The type of slope shown in the image is Zero because it is a horizontal line where the change in y is zero, resulting in a slope of zero.

Find the slope of the line below using rise/run.

• 3

Answer explanation

The slope is calculated by rise/run. The rise is 2 and the run is 3, so the slope is 2/3.

Find the slope. Simplify, if you can.

• 2

Answer explanation

The slope is found by dividing the change in y-coordinates by the change in x-coordinates. In this case, the slope is 2/5, which is the correct answer choice.

Determine the slope and y-intercept from the following equation:   y = 3/2x + 3

• slope: 5   y-intercept:  (0,3) 

• slope: 3/2   y-intercept:  (0,3) 

• slope:  4  y-intercept:  (0,3/2)

• slope: 1/5   y-intercept:  (0,5) 

Answer explanation

The slope of the equation y = 3/2x + 3 is 3/2, and the y-intercept is (0,3). Therefore, the correct choice is slope: 3/2 & y-intercept: (0,3).

If m=3 and b=6, what is the correct slope intercept equation?

• y=3-6

• y=3x-6

• y=3x+6

• y=6x+3

Answer explanation

The correct slope-intercept equation is y=mx+b, where m is the slope and b is the y-intercept. Given m=3 and b=6, the correct equation is y=3x+6.

Name the slope; the m value

• 2

• -2

• 1/2

• 1/2x

Answer explanation

The correct slope, or m value, is 1/2. This is the slope of the line represented by the equation y = (1/2)x.

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

• -2

• 3

• 5

• Cannot be Determined

Answer explanation

The slope in the equation y= -2x + 5 is -2 because the coefficient of x represents the slope in the slope-intercept form y=mx+b.

Write the equation for the line.

• y= -1x+3

• y= 4x+3

• y=1/4x+3

• y= -4x+3

Answer explanation

The correct equation for the line is y= 4x+3, as it matches the given equation.

What is the slope of the line through the points (4, 0) and (-1, 10)?

• -10/3

• 3/10

• 2

• -2

Answer explanation

The slope of a line passing through two points (x1, y1) and (x2, y2) is given by (y2 - y1) / (x2 - x1). Substituting the values, we get (10 - 0) / (-1 - 4) = -10 / 5 = -2. Therefore, the slope is -2.