Linear Equations and Tables

Front

What is the standard form of a linear equation?

Back

The standard form of a linear equation is 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

'm' represents the slope of the line, indicating how steep the line is.

Front

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

Back

'b' represents the y-intercept, which is the point where the line crosses the y-axis.

Front

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

Back

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

Front

What is the slope of the line represented by the equation y = 3x + 9?

Back

The slope of the line is 3.

Front

What is the y-intercept of the line represented by the equation y = 3x + 9?

Back

The y-intercept of the line is 9.

Front

If a linear equation is y = -2x + 7, what is the slope?

Back

The slope is -2.

Front

What is the equation of a line with a slope of 1 and a y-intercept of 5?

Back

The equation is y = x + 5.

Front

How can you determine if a table of values represents a linear relationship?

Back

If the differences between the y-values divided by the differences between the x-values are constant, it represents a linear relationship.

Front

What is the equation of a line that passes through the points (1, 2) and (3, 6)?

Back

First, find the slope: m = (6 - 2) / (3 - 1) = 2. Then use point-slope form to find the equation: y - 2 = 2(x - 1) or y = 2x.