Writing Equations in Slope-Intercept Form

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 identify the slope in the slope-intercept form?

Back

In the slope-intercept form y = mx + b, the slope is represented by the coefficient m.

Front

What does the y-intercept represent in the slope-intercept form?

Back

The y-intercept, represented by b in the slope-intercept form y = mx + b, is the point where the line crosses the y-axis.

Front

If a line has a slope of 2 and a y-intercept of -3, what is its equation in slope-intercept form?

Back

The equation of the line in slope-intercept form is y = 2x - 3.

Front

What is the significance of a positive slope?

Back

A positive slope indicates that as x increases, y also increases, resulting in an upward slant of the line.

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 of the line.

Front

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

Back

To convert a standard form equation Ax + By = C to slope-intercept form, solve for y to isolate it on one side of the equation.

Front

What is the slope of a horizontal line?

Back

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

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined, as it does not pass the vertical line test.

Front

How do you graph a line given its slope and y-intercept?

Back

To graph a line given its slope (m) and y-intercept (b), start at the y-intercept on the y-axis and use the slope to determine the rise over run.