Warmup 12/10

Front

What is the equation of a line in slope-intercept form?

Back

The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of y with respect to x, indicating how steep the line is.

Front

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

Back

To find the y-intercept, set x = 0 in the equation and solve for y.

Front

What is the slope of the line represented by the equation y = 1/3x - 2?

Back

The slope of the line is 1/3.

Front

What is the y-intercept of the equation y = 1/3x - 2?

Back

The y-intercept is -2.

Front

How do you graph a linear equation?

Back

Start by plotting the y-intercept, then use the slope to find another point by moving up/down and left/right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases, meaning the line goes down from left to right.

Front

What is the rise/run for a slope of -2?

Back

The rise/run for a slope of -2 is -2/1.

Front

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

Back

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

Front

What is the slope between the points (4, 2) and (3, 8)?

Back

The slope is -6.