Word Problems - Slope Intercept Form Equations

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

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

Back

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

Front

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

Back

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

Front

Write the slope-intercept form equation for a situation where a person pays a flat fee of $10 plus $4 for each hour worked.

Back

y = 4x + 10

Front

If a line has a slope of 3, what does this indicate about the relationship between x and y?

Back

A slope of 3 indicates that for every 1 unit increase in x, y increases by 3 units.

Front

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

Back

The slope (m) can be calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

Write the equation in slope-intercept form for a car rental that charges $30 base fee and $15 per day.

Back

y = 15x + 30

Front

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

Back

Identify the fixed cost (y-intercept) and the variable cost (slope) from the problem.

Front

If a babysitter charges $2 per hour plus a $5 flat fee, what is the equation for the total cost?

Back

C = 2h + 5

Front

What is the significance of the y-intercept in a real-world context?

Back

The y-intercept represents the initial cost or starting point before any variable costs are added.