Slope

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, usually represented as 'm' in the equation y = mx + b.

Front

What does 'm' represent in the equation y = mx + b?

Back

'm' represents the slope of the line.

Front

What does 'b' represent in the equation y = mx + b?

Back

'b' represents the y-intercept of the line.

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 y-intercept of the line y = 2x + 5?

Back

The y-intercept is 5.

Front

If a line has a slope of 1/2, what does this mean?

Back

For every 2 units you move horizontally to the right, you move 1 unit up.

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

Write the equation of a line with a slope of -3 and a y-intercept of 4.

Back

y = -3x + 4.

Front

If the slope of a line is negative, what does this indicate about the line's direction?

Back

The line descends from left to right.