Slope and Slope Intercept

Front

What is the equation of a line in slope-intercept form?

Back

The equation of a line in slope-intercept form is given by y = mx + b, where m is the slope and b is the y-intercept.

Front

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

Back

In the equation y = mx + b, 'm' represents the slope of the line.

Front

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

Back

In the equation y = mx + b, 'b' represents the y-intercept of the line.

Front

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

Back

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

Front

What is the slope of the line represented by the equation y = 4x + 3?

Back

The slope of the line y = 4x + 3 is 4.

Front

If a line has a slope of -2, what does this indicate about the line's direction?

Back

A slope of -2 indicates that the line is decreasing; for every 1 unit increase in x, y decreases by 2 units.

Front

What is the slope of the line represented by the equation y = -rac{3}{4}x + 2?

Back

The slope of the line y = -\frac{3}{4}x + 2 is -\frac{3}{4}.

Front

How can you determine if two lines are parallel using their slopes?

Back

Two lines are parallel if they have the same slope.

Front

How can you determine if two lines are perpendicular using their slopes?

Back

Two lines are perpendicular if the product of their slopes is -1.

Front

What is the y-intercept of the line represented by the equation y = -rac{1}{2}x + 4?

Back

The y-intercept of the line y = -\frac{1}{2}x + 4 is 4.