Graphing In Standard form

Front

What is Standard Form in linear equations?

Back

Standard Form is a way of writing linear equations in the format Ax + By = C, where A, B, and C are integers, and A should be non-negative.

Front

How do you find the x-intercept of a linear equation?

Back

To find the x-intercept, set y = 0 in the equation and solve for x.

Front

Back

To find the y-intercept, set x = 0. The equation becomes 3y = 6, so y = 2. The y-intercept is (0, 2).

Front

Which of the following is in Standard Form: y = 3x + 4 or 4x - 2y = 8?

Back

4x - 2y = 8 is in Standard Form.

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

How do you convert the equation y = mx + b to Standard Form?

Back

Rearrange the equation to the form Ax + By = C by moving all terms involving x and y to one side.

Front

Back

The x-intercept is (7, 0).

Front

Back

The graph is a straight line that crosses the x-axis at (4, 0) and the y-axis at (0, 2).

Front

How do you graph a linear equation in Standard Form?

Back

1. Find the x-intercept and y-intercept. 2. Plot these points on the graph. 3. Draw a straight line through the points.

Front

What is the significance of the coefficients A and B in Standard Form?

Back

A and B determine the slope of the line. The slope is given by -A/B.