Slope of a Line

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, usually represented by the letter 'm'. It is calculated as the change in y (rise) divided by the change in x (run).

Front

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

Back

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

Front

How do you find the y-intercept of a line from its equation?

Back

To find the y-intercept from the equation y = mx + b, identify the value of b, which is the point where the line crosses the y-axis.

Front

What does 'm' represent in the equation y = mx + b?

Back

'm' represents the slope of the line.

Front

If a line has a slope of 2, what does this indicate about the line?

Back

A slope of 2 indicates that for every 1 unit increase in x, the value of y increases by 2 units.

Front

What is the y-intercept of the line represented by the equation y = -3x + 4?

Back

The y-intercept is 4, which is the value of y when x = 0.

Front

How do you write the equation of a line given a slope and a y-intercept?

Back

Use the slope-intercept form: y = mx + b, substituting the given slope for m and the y-intercept for b.

Front

What is the equation of a line with a slope of -1/2 and a y-intercept of 3?

Back

The equation is y = -1/2x + 3.

Front

What does a slope of 0 indicate about a line?

Back

A slope of 0 indicates that the line is horizontal and does not rise or fall.

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates that the line is vertical.