Graph Linear Equations with Slope Review

Front

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

Back

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

Front

How do you convert the equation 4x - 2y = 6 to slope-intercept form?

Back

To convert to slope-intercept form, solve for y: y = 2x - 3.

Front

What is the slope of the line represented by the equation y = -5/3x + 2?

Back

The slope is -5/3.

Front

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

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Front

What does 'rise over run' mean in the context of slope?

Back

'Rise over run' refers to the vertical change (rise) divided by the horizontal change (run) between two points on a line.

Front

Convert the equation -2x - 3y = 12 to slope-intercept form.

Back

The slope-intercept form is y = -\frac{2}{3}x - 4.

Front

What is the constant rate of change if the water level in a pool decreases from 10 feet to 2 feet over 4 hours?

Back

The constant rate of change is -2 feet per hour.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases.

Front

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

Back

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

Front

If a line has a slope of 3, what does this mean in terms of rise and run?

Back

For every 3 units the line rises, it runs 1 unit horizontally.