Finding Slope from graphs, tables and two given coordinates

Front

What is the slope?

Back

The slope is a measure of the steepness of a line, calculated as the change in the y-coordinate divided by the change in the x-coordinate.

Front

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

Back

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

Front

What does a positive slope indicate about a line?

Back

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

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0, as there is no change in the y-coordinate.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined, as the change in the x-coordinate is 0.

Front

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

Back

The slope is 2, calculated as (7 - 3) / (4 - 2).

Front

Find the slope of the line that passes through the points (1, 1) and (1, 5).

Back

The slope is undefined, as the x-coordinates are the same.

Front

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

Back

The slope is 3, which is the coefficient of x in the equation.

Front

If a line has a slope of -1, what does this tell you about the line?

Back

A slope of -1 indicates that for every unit increase in x, y decreases by 1 unit, resulting in a line that falls at a 45-degree angle.