Functions, Slope and Slope Intercept Form

Front

What is a function?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Front

Which of the following sets of ordered pairs represents a function? [(0,3), (2,6), (7,2), (0,-3)], [(6,1), (6,2), (6,3), (6,4)], [(-12,0), (-13,-1), (-14,-2), (-14, -3)], [(1,6), (2,6), (3,6), (4,6)]

Back

[(1,6), (2,6), (3,6), (4,6)]

Front

What is slope in a graph?

Back

Slope is a measure of the steepness or incline of a line, calculated as the change in the vertical direction (rise) divided by the change in the horizontal direction (run).

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

If a line has a slope of zero, what does that mean?

Back

A slope of zero means the line is horizontal and does not rise or fall.

Front

Which points could a line with a slope of zero pass through? (12, 9) and (12, 6), (3, -6) and (7, -6), (1,4) and (2, 5), (-9, 7) and (9, -7)

Back

(3, -6) and (7, -6) because they have the same y-value.

Front

What is the slope of the line represented by the equation y = -3x + 10?

Back

The slope is -3.

Front

How do you find the slope between two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the slope-intercept form y = mx + b.

Front

Write the equation of a line with a slope of 3 and a y-intercept of 2 in slope-intercept form.

Back

y = 3x + 2.