Writing Linear Equations from 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 (m) from a table of values?

Back

The slope (m) can be found by taking the difference in y-values divided by the difference in x-values between two points.

Front

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

Back

The slope of the line is 3.

Front

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

Back

The y-intercept of the line is 3.

Front

If a linear equation has a negative slope, what does that indicate about the line?

Back

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

Front

How can you determine if a linear equation is increasing or decreasing?

Back

If the slope (m) is positive, the line is increasing; if the slope is negative, the line is decreasing.

Front

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

Back

y = 2x - 3.

Front

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

Back

The slope of the line is -1.