Standard Form to Slope Intercept Form

Front

What is the Standard Form of a linear equation?

Back

The Standard Form of a linear equation is Ax + By = C, where A, B, and C are integers, and A should be non-negative.

Front

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

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

How do you convert from Standard Form to Slope-Intercept Form?

Back

To convert from Standard Form (Ax + By = C) to Slope-Intercept Form (y = mx + b), solve for y by isolating it on one side of the equation.

Front

What does the slope (m) represent in a linear equation?

Back

The slope (m) represents the rate of change of y with respect to x; it indicates how steep the line is.

Front

What does the y-intercept (b) represent in a linear equation?

Back

The y-intercept (b) is the point where the line crosses the y-axis, indicating the value of y when x = 0.

Front

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

Back

The slope (m) is 2.

Front

Identify the y-intercept in the equation y = -1/2x - 4.

Back

The y-intercept (b) is -4.

Front

What is the first step to solve the equation -x - 2y = -12 for y?

Back

Add x to both sides to isolate the term with y.

Front

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

Back

3y = -5x + 15; y = -5/3x + 5.

Front

What is the first step to solve the equation x - 3y = -9 for y?

Back

Subtract x from both sides to isolate the term with y.