Front

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

Back

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

Front

What does the slope (m) represent in a slope-intercept equation?

Back

The slope (m) represents the rate of change of y with respect to x, indicating how much y increases or decreases for each unit increase in x.

Front

What does the y-intercept (b) represent in a slope-intercept equation?

Back

The y-intercept (b) represents the value of y when x is 0, indicating where the line crosses the y-axis.

Front

How do you identify the slope and y-intercept from the equation y = 3x + 7?

Back

In the equation y = 3x + 7, the slope (m) is 3 and the y-intercept (b) is 7.

Front

What is the first step to write an equation in slope-intercept form from a word problem?

Back

The first step is to identify the variables involved and what they represent in the context of the problem.

Front

How can you convert a word problem into a linear equation?

Back

You can convert a word problem into a linear equation by identifying the fixed costs (y-intercept) and the variable costs (slope) described in the problem.

Front

In the context of the bike rental problem, what do the $4 and $1.50 represent?

Back

In the bike rental problem, $4 represents the fixed cost (y-intercept) and $1.50 represents the variable cost per hour (slope).

Front

What is the significance of the startup fee in the online learning community problem?

Back

The startup fee of $20 represents the initial fixed cost (y-intercept) before any monthly fees are incurred.

Front

How do you graph a linear equation in slope-intercept form?

Back

To graph a linear equation in slope-intercept form, start at the y-intercept (b) on the y-axis, then use the slope (m) to determine the rise over run to plot additional points.

Front

What is the relationship between slope and parallel lines?

Back

Parallel lines have the same slope but different y-intercepts, meaning they will never intersect.