Graphing Linear Equations

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed. It can be written in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope (m) represent in a linear equation?

Back

The slope (m) represents the rate of change of the dependent variable (y) with respect to the independent variable (x). It indicates how steep the line is.

Front

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

Back

The y-intercept (b) is the point where the line crosses the y-axis. It represents the value of y when x is 0.

Front

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

Back

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

Front

What is the slope of the equation y = -3x - 9?

Back

The slope is -3.

Front

If m = 3 and b = 6, what is the slope-intercept equation?

Back

The equation is y = 3x + 6.

Front

What does the term 'rise' refer to in slope?

Back

'Rise' refers to the change in the y-coordinate (vertical change) between two points on a line.

Front

What does the term 'run' refer to in slope?

Back

'Run' refers to the change in the x-coordinate (horizontal change) between two points on a line.

Front

What is the general form of a linear equation?

Back

The general form of a linear equation is Ax + By = C, where A, B, and C are constants.

Front

How can you graph a linear equation?

Back

To graph a linear equation, you can find two or more points that satisfy the equation and plot them on a coordinate plane, then draw a straight line through the points.