Algebra Vocabulary Slope

A function with a constant rate of change (slope). When graphed it is a straight line.

• Linear function

• Exponential function

• Quadratic function

• Polynomial function

The rate of change. Ratio of the change in output (y) to the change in input (x)

• Slope

• Y-Intercept

• Vertex

• Minimum

The equation y=mx+b, where m = slope, b = y-intercept, (x,y) is a point on the line

• Slope-Intercept Form

• Set Builder Notation

• Domain

• Vertex

Which is an equation for line ℓ in the accompanying diagram?

• y=2x+2

• y=2x-4

• y=-2x-4

• y=-2x+2

The equation y = -2x + 7 models the amount of gas remaining in a lawnmower after x hours of use since it was filled. What is the meaning of the slope?

• For each hour of mowing, the mower is predicted to use 2 gallons.

• the predicted amount of gas the lawnmower can hold is 2 gallons

• For every two hours of mowing, the mower is predicted to use 7 gallons.

• The predicted amount of gas remaining after 1 hour is 2 gallons.

What is the slope of the line that passes through these two points (0, -2) and (3, -4)?

• 2/3

• -2/3

• 3

• -2

Maggie purchased a new car or $25,350. This make and model straight line depreciates to zero after 13 years. What is the slope of the depreciation equation?

• -1,950

• -1,600

• 1,950

• 25,350

What is the slope of the line whose equation is y = -3x+6

• -½

• 2

• -3

• 6

The graph of which equation has a negative slope?

• y = 5x-3

• x + y = 5

• y - 2 = 4x

• y = 0

Slope-Intercept Form

• y = mx + b

• y = kx

• y = x

• y = k/x