Linear Equations - Intercepts & Slope

Front

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

Back

The 'm' represents the slope of the line.

Front

In the equation y=2x + 3, what is the slope?

Back

The slope is 2.

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated as (y2 - y1) / (x2 - x1).

Front

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

Back

The y-intercept is the value of y when x = 0, represented by 'b' in the equation.

Front

What is the equation of a line with a slope of 1/2 and a y-intercept of 3?

Back

The equation is y = (1/2)x + 3.

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 a vertical line?

Back

The slope of a vertical line is undefined.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

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.