Unit 3 Linear Functions Test Review

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

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

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What does a positive slope indicate about a linear function?

Back

A positive slope indicates that as x increases, y also increases, showing a direct relationship.

Front

What does a negative slope indicate about a linear function?

Back

A negative slope indicates that as x increases, y decreases, showing an inverse relationship.

Front

What is the significance of the y-intercept 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.

Front

How can you determine if a point (x, y) is a solution to a linear inequality?

Back

Substitute the x and y values into the inequality. If the inequality holds true, then the point is a solution.

Front

What is the rate of change in a linear function?

Back

The rate of change is the same as the slope, representing how much y changes for a unit change in x.

Front

How do you convert the standard form of a linear equation to slope-intercept form?

Back

To convert from Ax + By = C to slope-intercept form, solve for y: y = (-A/B)x + (C/B).

Front

What is the slope of the line represented by the equation 6x - 8y = 16?

Back

The slope is 3/4, found by rearranging to slope-intercept form: y = (3/4)x - 2.

Front

What is the equation of a line with a slope of 2 that passes through the point (1, 3)?

Back

The equation is y - 3 = 2(x - 1), which simplifies to y = 2x + 1.