Pre Flashcard Warm Up 12/18

Front

What are the x- and y-intercepts on a graph?

Back

The x-intercept is the point where the graph crosses the x-axis (y=0), and the y-intercept is where it crosses the y-axis (x=0). For example, in the graph with intercepts (5,0) and (0,5), the x-intercept is (5,0) and the y-intercept is (0,5).

Front

What is the general form of a linear equation?

Back

The general form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you find the slope of a line from its equation?

Back

The slope of a line in the equation y = mx + b is represented by m. For example, in y = 3x + 16, the slope is 3.

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope. For example, if one line has the equation y = 2x - 7, a parallel line will also have a slope of 2.

Front

How do you write the equation of a line parallel to a given line?

Back

To write the equation of a line parallel to a given line, use the same slope as the original line and the point-slope form of the equation. For example, for y = 2x + 3 passing through (3, 1), the equation is y = 2x - 5.

Front

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

Back

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

Front

How do you determine the total cost of a service based on a flat fee and a variable cost?

Back

The total cost can be represented by the equation C = variable cost per unit * number of units + flat fee. For example, for towing, C = 8m + 50.

Front

What is the meaning of the slope in a linear function?

Back

The slope indicates the rate of change of y with respect to x. A positive slope means y increases as x increases, while a negative slope means y decreases as x increases.

Front

What is the y-intercept of a linear equation?

Back

The y-intercept is the value of y when x = 0. It is represented by b in the equation y = mx + b.

Front

How do you find the x-intercept of a linear equation?

Back

To find the x-intercept, set y = 0 in the equation and solve for x.