Writing Equations of a Line

Front

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

Back

The slope-intercept form is given by the equation 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

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

Back

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

Front

If a line has a slope of 0, what does that indicate about the line?

Back

A slope of 0 indicates a horizontal line, meaning there is no change in y as x changes.

Front

What does a negative slope indicate about a line?

Back

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

Front

Write the slope-intercept form of the equation with a slope of 2 and a y-intercept of 5.

Back

y = 2x + 5

Front

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

Back

The y-intercept is 4.

Front

If the slope of a line is 1/2, what does this mean in terms of rise over run?

Back

It means for every 2 units you move to the right (run), the line rises 1 unit (rise).

Front

Write the equation of a line with a slope of -1 and a y-intercept of -2.

Back

y = -1x - 2 or y = -x - 2.

Front

What is the slope of the line represented by the equation y = 5?

Back

The slope is 0, indicating a horizontal line.