Graphing Linear Equations - Algebra 2024-2025

Front

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

Back

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

Front

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

Back

The slope (m) is calculated using the formula 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, represented by the value of y when x = 0.

Front

Convert the point-slope form y - y1 = m(x - x1) to slope-intercept form.

Back

To convert, solve for y: y = mx - mx1 + y1.

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 determine if a slope is undefined?

Back

A slope is undefined when the line is vertical, meaning the x-coordinates of the two points are the same.

Front

What is the significance of a zero slope?

Back

A zero slope indicates a horizontal line, meaning there is no change in y as x changes.

Front

Given the slope and a point, how do you write the equation in slope-intercept form?

Back

Use the slope (m) and the point (x1, y1) in the formula y - y1 = m(x - x1) and solve for y.

Front

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

Back

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