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 slope-intercept form?

Back

Slope-intercept form is a way of writing a linear equation as 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.

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, indicating 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

What is the x-intercept of a linear equation?

Back

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

Front

How do you find the x-intercept of the equation 5x - 3y = 15?

Back

Set y = 0 and solve for x: 5x = 15, so x = 3.

Front

How do you find the y-intercept of the equation 5x - 3y = 15?

Back

Set x = 0 and solve for y: -3y = 15, so y = -5.

Front

What is the first step to solve -2x - 4y = -12 for y?

Back

Add 2x to both sides to isolate the term with y.

Front

Identify the form of the equation 5x + 3y = 15.

Back

This equation is in standard form.