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 and the direction it goes.

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 from a table of values?

Back

To find the slope, calculate the change in y divided by the change in x (rise/run) between two points.

Front

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

Back

The slope is 2.

Front

What is the y-intercept of the line represented by the equation y = -3x + 5?

Back

The y-intercept is 5.

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 negative, the line is decreasing.

Front

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

Back

y = 4x - 1.

Front

What is the equation of a line with a slope of -2 that passes through the point (0, 3)?

Back

y = -2x + 3.