graphing equations

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

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x; it indicates how steep the line is.

Front

What is the y-intercept of the equation y = -1x + 2?

Back

The y-intercept is 2, which is the point where the line crosses the y-axis.

Front

How do you graph the equation y = -3?

Back

Graph a horizontal line that crosses the y-axis at -3.

Front

What does the equation x = 2 represent on a graph?

Back

It represents a vertical line that crosses the x-axis at 2.

Front

How do you find the equation of a line given two points?

Back

Use the formula y - y1 = m(x - x1), where m is the slope calculated from the two points.

Front

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

Back

The slope is -3.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as x increases, y also increases.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases.

Front

How do you identify the graph of y = -x + 2?

Back

Look for a line that slopes downwards and crosses the y-axis at 2.