Test-Slope & Linear Equations

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, usually represented by the letter 'm'. It is calculated as the change in y (vertical change) divided by the change in x (horizontal change).

Front

In the equation y=mx+b, what does 'm' represent?

Back

'm' represents the slope of the line.

Front

What is the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented by 'b' in the equation y=mx+b.

Front

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

Back

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

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

If a line has a slope of 1, what does this indicate about the line?

Back

A slope of 1 indicates that for every unit increase in x, y increases by the same amount, resulting in a 45-degree angle with the x-axis.

Front

What is the slope of the line that passes through the points (5, 12) and (9, 8)?

Back

The slope is -1.

Front

What is the y-intercept in the equation y = 3x - 4?

Back

The y-intercept is -4.

Front

What does it mean if a line has a negative slope?

Back

A negative slope indicates that as x increases, y decreases.