Standard Form and Slope-Intercept Form

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is represented as y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope (m) represent in the slope-intercept form?

Back

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

Front

What is the y-intercept in the slope-intercept form?

Back

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

Front

How do you convert the standard form of a linear equation to slope-intercept form?

Back

To convert from standard form Ax + By = C to slope-intercept form, solve for y to isolate it on one side.

Front

What is the standard form of a linear equation?

Back

The standard form is represented as Ax + By = C, where A, B, and C are integers.

Front

What is 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

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

Back

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

Front

What is the first step to solve for slope-intercept form from -x + 4y = 11?

Back

The first step is to add x to both sides of the equation.

Front

What is the slope of the line represented by the equation y = 2x + 3?

Back

The slope of the line is 2.

Front

What is the y-intercept of the line represented by the equation y = -rac{1}{2}x + 4?

Back

The y-intercept of the line is 4.