Slope, y-intercept, and similar slope triangles Unit 4 review

Front

What is the definition of slope in a linear equation?

Back

The slope is a measure of the steepness of a line, represented as the ratio of the vertical change (rise) to the horizontal change (run) between two points on the line.

Front

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

Back

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

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented as the value of y when x = 0.

Front

How can you find the y-intercept from the equation of a line in slope-intercept form (y = mx + b)?

Back

In the equation y = mx + b, the y-intercept is the value of b.

Front

What is the slope of a line that is horizontal?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a line that is vertical?

Back

The slope of a vertical line is undefined.

Front

If a line has a slope of -3, what does this indicate about the direction of the line?

Back

A slope of -3 indicates that the line descends from left to right, meaning for every 1 unit increase in x, y decreases by 3 units.

Front

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

Back

Two lines are parallel if they have the same slope.

Front

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

Back

The formula for the slope (m) is m = (y2 - y1) / (x2 - x1).