Chp2 Final Rev: Slope & graphing lines

Front

What is the definition of slope?

Back

The slope of a line is a measure of its steepness, typically represented as 'm'. It is calculated as the change in y (rise) divided by the change in x (run).

Front

What does it mean if the slope is undefined?

Back

An undefined slope occurs when a line is vertical, meaning it goes straight up and down, and there is no change in x.

Front

How do you convert an equation to slope-intercept form?

Back

To convert to slope-intercept form (y = mx + b), solve for y in terms of x.

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the slope of a line that rises from left to right?

Back

The slope is positive.

Front

What is the slope of a line that falls from left to right?

Back

The slope is negative.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is zero.

Front

What is the formula to calculate the slope between two points (x1, y1) and (x2, y2)?

Back

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

Front

Given points (3, -2) and (-2, 8), find the slope.

Back

m = (8 - (-2)) / (-2 - 3) = 10 / -5 = -2.

Front

What is the y-intercept of the line y = 3x + 5?

Back

The y-intercept is 5.