Graphing Linear Functions

Front

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

Back

The slope-intercept 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 y-intercept in the slope-intercept form?

Back

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

Front

What does the slope (m) represent in a linear function?

Back

The slope (m) represents the rate of change of y with respect to x, indicating how steep the line is.

Front

What is the meaning of 'rise over run' in the context of slope?

Back

'Rise over run' refers to the vertical change (rise) divided by the horizontal change (run) between two points on a line.

Front

What type of slope does a horizontal line have?

Back

A horizontal line has a slope of zero.

Front

What type of slope does a vertical line have?

Back

A vertical line has an undefined slope.

Front

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

Back

To convert from standard form (Ax + By = C) to slope-intercept form (y = mx + b), solve for y.

Front

What is the y-intercept of the line represented by the equation y = 2x + 5?

Back

The y-intercept is 5.

Front

If a line has a slope of 3, what does this indicate about the line's steepness?

Back

A slope of 3 indicates that for every 1 unit increase in x, y increases by 3 units, making the line steep.

Front

What is the slope of a line that goes down from left to right?

Back

The slope of a line that goes down from left to right is negative.