Graphing Linear Equations

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, typically represented as 'm' in the equation of a line (y = mx + b). It is calculated as the rise over run, or the change in y divided by the change in x.

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis. In the equation y = mx + b, 'b' represents the y-intercept.

Front

Write the equation of a line with a slope of 4 and a y-intercept of 3.

Back

y = 4x + 3

Front

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

Back

The slope (m) can be found using the formula m = (y2 - y1) / (x2 - x1).

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

Convert the slope-intercept form to standard form: y = -2x + 5.

Back

2x + y = 5.

Front

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

Back

The slope is 3.

Front

Identify the y-intercept of the equation y = -3x + 7.

Back

The y-intercept is 7.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that the line is decreasing from left to right.

Front

What is the slope of the line represented by the equation y = -1/2x + 4?

Back

The slope is -1/2.