Standard form - intercepts

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 and B are not both zero.

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

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

Back

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

Front

What is the x-intercept of the equation 3x + 8y = 24?

Back

(8, 0) is the x-intercept.

Front

What is the y-intercept of the equation x + 2y = 4?

Back

(0, 2) is the y-intercept.

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 calculate the slope from two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

What is the slope of the line represented by the equation 2x + 4y = 12?

Back

The slope is -1/2.

Front

What is the significance of the intercepts in a linear equation?

Back

Intercepts indicate where the line crosses the x-axis and y-axis, providing key points for graphing.

Front

What is the general process to graph a linear equation?

Back

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