Linear Functions 2

Front

What is a linear function?

Back

A linear function is a function that can be graphically represented as a straight line. It has the form y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you find the y-intercept of a linear equation?

Back

To find the y-intercept of a linear equation in the form Ax + By = C, set x = 0 and solve for y.

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the change in y divided by the change in x (rise/run).

Front

How do you find the x-intercept of a linear equation?

Back

To find the x-intercept of a linear equation in the form Ax + By = C, set y = 0 and solve for x.

Front

What does the slope-intercept form of a linear equation look like?

Back

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

Front

What is the significance of the y-intercept in a linear function?

Back

The y-intercept is the point where the line crosses the y-axis, representing the value of y when x = 0.

Front

How can you determine the slope from a linear equation in standard form?

Back

From a linear equation in standard form Ax + By = C, the slope can be determined by rearranging it into slope-intercept form (y = mx + b) and identifying m.

Front

What is the relationship between the slope and the direction of a line?

Back

A positive slope indicates that the line rises from left to right, while a negative slope indicates that the line falls from left to right.

Front

How do you convert a linear equation from standard form to slope-intercept form?

Back

To convert from standard form 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 line that is horizontal?

Back

The slope of a horizontal line is 0.