Writing the Equation of a Line: Slope-Intercept & Standard Form

Front

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

Back

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

Front

What is the standard form of a linear equation?

Back

The standard form is Ax + By = C, where A, B, and C are integers, and A should be non-negative.

Front

How do you find the slope from two points (x₁, y₁) and (x₂, y₂)?

Back

The slope (m) is calculated as m = (y₂ - y₁) / (x₂ - x₁).

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

What is the y-intercept in the equation y = mx + b?

Back

The y-intercept (b) is the point where the line crosses the y-axis.

Front

Convert the equation 2x - y = 2 to slope-intercept form.

Back

The slope-intercept form is y = 2x - 2.

Front

Identify the slope in the equation y = -3x + 4.

Back

The slope is -3.

Front

What is the x-intercept of the line represented by the equation 3x + 2y = 6?

Back

The x-intercept is 2 (when y = 0, x = 2).

Front

How do you graph a line using the slope-intercept form?

Back

Start at the y-intercept (b) on the y-axis, then use the slope (m) to find another point.

Front

What is the relationship between parallel lines in terms of slope?

Back

Parallel lines have the same slope but different y-intercepts.