Standard to Slope Intercept Form

Front

What is the Slope-Intercept Form of a linear equation?

Back

The Slope-Intercept Form is y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you convert the equation -x + 4y = 11 to Slope-Intercept Form?

Back

Add x to both sides to get 4y = x + 11, then divide by 4 to get y = (1/4)x + 11/4.

Front

What does the slope represent in a linear equation?

Back

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

Front

Identify the slope in the equation y = 3x - 2.

Back

The slope is 3.

Front

What is the y-intercept in the equation y = -6x + 4?

Back

The y-intercept is 4.

Front

How can you determine if an equation is in Slope-Intercept Form?

Back

An equation is in Slope-Intercept Form if it can be expressed as y = mx + b.

Front

Convert the equation 5x + 3y = 15 to Slope-Intercept Form.

Back

Subtract 5x from both sides to get 3y = -5x + 15, then divide by 3 to get y = (-5/3)x + 5.

Front

What is the slope of the line represented by the equation y = 4 - 6x?

Back

The slope is -6.

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

Identify the form of the equation y = 2x + 1.

Back

This is in Slope-Intercept Form.