Graphing Linear Equations Review

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

How do you find the slope of a line given 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 of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the slope-intercept form.

Front

How can you determine if a line is increasing or decreasing?

Back

A line is increasing if the slope is positive (m > 0) and decreasing if the slope is negative (m < 0).

Front

What is the equation of a line with a slope of 2 and a y-intercept of 3?

Back

The equation is y = 2x + 3.

Front

How do you graph a linear equation in slope-intercept form?

Back

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

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.

Front

How do you convert from slope-intercept form to standard form?

Back

Rearrange the equation y = mx + b to the form Ax + By = C by moving terms.

Front

What is the significance of parallel lines in terms of slope?

Back

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