Slope and Y-Intercept

Front

What is the slope in the equation y = mx + b?

Back

The slope is represented by the letter 'm'.

Front

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

Back

The y-intercept is represented by the letter 'b' and indicates the point where the line crosses the y-axis.

Front

How do you write the equation of a line with a slope of 2/3 and a y-intercept of -3?

Back

The equation is y = \frac{2}{3}x - 3.

Front

What is the slope of a line that rises 4 units for every 3 units it runs?

Back

The slope is \frac{4}{3}.

Front

If a line has a slope of 0, what does that indicate about the line?

Back

A slope of 0 indicates that the line is horizontal.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

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

Back

The slope is calculated using the formula m = \frac{y2 - y1}{x2 - x1}.

Front

What is the y-intercept of the line represented by the equation y = 2x + 5?

Back

The y-intercept is 5.

Front

If the equation of a line is y = -3x + 2, what is the slope?

Back

The slope is -3.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that the line rises as it moves from left to right.