Linear Equations and Tables

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 'm' represent in the equation y = mx + b?

Back

In the equation y = mx + b, 'm' represents the slope of the line, which indicates the steepness and direction of the line.

Front

What does 'b' represent in the equation y = mx + b?

Back

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

Front

Write a linear equation with a slope of 2 and a y-intercept of 3.

Back

y = 2x + 3

Front

Write a linear equation with a slope of -1 and a y-intercept of 4.

Back

y = -1x + 4 or y = -x + 4

Front

What is the slope of the line represented by the equation y = 5x - 2?

Back

The slope of the line is 5.

Front

What is the y-intercept of the line represented by the equation y = -3x + 1?

Back

The y-intercept of the line is 1.

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 slope of the line that passes through the points (2, 3) and (4, 7)?

Back

The slope is (7 - 3) / (4 - 2) = 4 / 2 = 2.

Front

If a line has a slope of 0, what does that mean?

Back

A slope of 0 means the line is horizontal and does not rise or fall.