Graphing Using XY Table

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the change in y divided by the change in x (rise/run).

Front

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

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

Find the slope of the points (1, 8) and (3, 12).

Back

Slope = (12 - 8) / (3 - 1) = 4 / 2 = 2.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as x increases, y also increases, meaning the line rises from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases, meaning the line falls from left to right.

Front

What is the slope of the line represented by the equation y = 2x + 1?

Back

The slope is 2.

Front

What is the y-intercept in the equation y = mx + b?

Back

The y-intercept (b) is the value of y when x = 0.

Front

If the slope of a line is 1/4, what does this mean?

Back

For every 4 units you move horizontally (right), you move 1 unit vertically (up).

Front

What is the slope of the line represented by the equation y = 1/4x - 3?

Back

The slope is 1/4.

Front

How do you find missing y values in a table for a linear equation?

Back

Substitute the x value into the equation to find the corresponding y value.