Graphing Linear Equations In Slope Intercept Form

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, indicating how steep the line is.

Front

If the slope is negative, what does that indicate about the line?

Back

A negative slope indicates that as x increases, y decreases, resulting in a downward slant from left to right.

Front

What is the rise/run when the slope is 3?

Back

The rise/run is 3/1.

Front

How do you find the y-intercept from the slope-intercept form?

Back

The y-intercept is the value of b in the equation y = mx + b, where the line crosses the y-axis.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

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

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Front

What does a slope of 1 indicate?

Back

A slope of 1 indicates that for every unit increase in x, y increases by the same amount.

Front

What is the equation of a line with a slope of -2 and a y-intercept of 3?

Back

The equation is y = -2x + 3.