Graphing Linear Functions

Front

What is the Y-intercept of a linear function?

Back

The Y-intercept is the point where the line crosses the y-axis.

Front

How do you find the value of y when x = 2 in the equation y = 3x + 2?

Back

Substituting x = 2 gives y = 3(2) + 2 = 8.

Front

Write the equation of the line with a slope of -3 and a Y-intercept of -3.

Back

The equation is y = -3x - 3.

Front

What is the slope of the line represented by the equation y = 2x + 5?

Back

The slope is 2.

Front

How do you graph the line represented by the equation y - 1 = -rac{1}{2}(x - 4)?

Back

Rearranging gives y = -rac{1}{2}x + 3. Plot the Y-intercept (0,3) and use the slope to find another point.

Front

Which equation represents a line with a slope of 3 and a Y-intercept of 4?

Back

The equation is y = 3x + 4.

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x.

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.

Front

What is the standard form of a linear equation?

Back

The standard form is Ax + By = C, where A, B, and C are integers.

Front

How do you convert the slope-intercept form to standard form?

Back

Rearrange the equation y = mx + b to Ax + By = C.