Math 7Acc - Unit 2 FLASHCARD (SLOPE and y-Int)

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the change in the y-coordinate divided by the change in the x-coordinate (rise/run).

Front

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

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, meaning the line rises from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, meaning the line falls from left to right.

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

If a line has a slope of 4/1, what does this mean?

Back

This means that for every 1 unit increase in x, the y-value increases by 4 units.

Front

Find the slope of the line that passes through the points (2, 3) and (5, 7).

Back

Slope = (7 - 3) / (5 - 2) = 4/3.

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 (0, y).

Front

How do you find the y-intercept from the slope-intercept form of a line?

Back

In the slope-intercept form y = mx + b, 'b' represents the y-intercept.