Slope & Y-Int: Equations/Tables/2Points REVIEW

Front

What is the definition of slope?

Back

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

Front

How do you find the y-intercept of a linear equation?

Back

The y-intercept is the value of y when x is 0. It can be found by substituting x=0 into the equation.

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

Given the points (1, -8) and (-3, 0), how do you calculate the slope?

Back

Slope (m) = (y2 - y1) / (x2 - x1) = (0 - (-8)) / (-3 - 1) = 8 / -4 = -2.

Front

What is the formula for the slope-intercept form of a line?

Back

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

Front

If a line has a slope of 5/2, what does this indicate about the line?

Back

A slope of 5/2 indicates that for every 2 units moved horizontally, the line rises 5 units vertically.

Front

How do you determine the y-intercept from a table of values?

Back

The y-intercept is the value of y when x is 0. Look for the row in the table where x=0.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that the line descends from left to right.

Front

What is the y-intercept of the line represented by the equation y = -3x + 6?

Back

The y-intercept is 6, as it is the value of y when x=0.