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 y with respect to x. It indicates how steep the line is and the direction it goes (positive slope goes up, negative slope goes down).

Front

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

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 graph of y = -2x + 4?

Back

The graph is a straight line with a slope of -2 and a y-intercept of 4.

Front

What is the graph of y = 3x - 4?

Back

The graph is a straight line with a slope of 3 and a y-intercept of -4.

Front

What is the graph of y = x - 2?

Back

The graph is a straight line with a slope of 1 and a y-intercept of -2.

Front

What is the graph of y = x - 4?

Back

The graph is a straight line with a slope of 1 and a y-intercept of -4.

Front

How do you determine which equation matches a given graph?

Back

To determine which equation matches a graph, identify the slope and y-intercept from the graph and compare them to the equations provided.

Front

What is the slope of the line represented by the equation y = 4/3x + 4?

Back

The slope of the line is 4/3.