Graphing Linear Functions Classwork

Front

What is the standard form of a linear equation?

Back

The standard form of a linear equation is represented as Ax + By = C, where A, B, and C are constants.

Front

Which equation represents a line with a slope of 2 and a y-intercept of 3?

Back

The equation is y = 2x + 3.

Front

Back

The slope is 4.

Front

Which of these represents point-slope form of a linear equation?

Back

Point-slope form is represented as y - y₁ = m(x - x₁), where m is the slope and (x₁, y₁) is a point on the line.

Front

Back

The y-intercept is -5.

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x, indicating how steep the line is.

Front

Back

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

Front

What is the difference between slope-intercept form and standard form?

Back

Slope-intercept form is y = mx + b, focusing on slope and y-intercept, while standard form is Ax + By = C, focusing on integer coefficients.

Front

How can you convert from slope-intercept form to standard form?

Back

To convert, rearrange the equation to get Ax + By = C, ensuring A, B, and C are integers.

Front

What does it mean if a line has a negative slope?

Back

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