4.5 Graphing Linear Equations in Standard 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

Identify the x-intercept of a line.

Back

The x-intercept is the point where the line crosses the x-axis, represented as (x, 0).

Front

Identify the y-intercept of a line.

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, y).

Front

How do you find the slope from a linear equation in standard form?

Back

The slope (m) can be found using the formula m = -A/B from the standard form Ax + By = C.

Front

What does the slope of a line represent?

Back

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

Front

Convert the equation 5x - 3y = -9 to slope-intercept form.

Back

y = (5/3)x + 3.

Front

What is the slope of the line represented by the equation 2x - 5y = 35?

Back

The slope is 2/5.

Front

What is the y-intercept of the line represented by the equation 2x - 5y = 35?

Back

The y-intercept is (0, -7).

Front

What is the significance of the coefficients A and B in the standard form of a linear equation?

Back

A and B determine the slope of the line and its orientation in the coordinate plane.

Front

How do you graph a linear equation in standard form?

Back

To graph, find the x-intercept and y-intercept, plot these points, and draw a line through them.