Setting Up Linear Equation Word Problems (Slope-Intercept Form)

Front

What does the letter 'm' represent in the slope-intercept form of a linear equation (y = mx + b)?

Back

The slope of the line.

Front

What does the letter 'b' represent in the slope-intercept form of a linear equation (y = mx + b)?

Back

The y-intercept, or the value of y when x is 0.

Front

Write the equation that models Eddie's Electric charges of $90 per hour plus a $50 traveling fee.

Back

y = 90x + 50

Front

If a fitness club starts with 80 members and gains 15 members each month, what is the equation for total membership after x months?

Back

y = 15x + 80

Front

Write the equation representing Amelia's spending of $20 per week from her initial $100 savings.

Back

y = -20x + 100

Front

What is the equation for a candle that starts at 7 inches and burns down at a rate of 2 inches per hour?

Back

y = 7 - 2x

Front

In the equation y = mx + b, what does 'x' represent?

Back

The independent variable, often representing time or quantity.

Front

How do you determine the slope from a linear equation in slope-intercept form?

Back

The slope is the coefficient of x (m) in the equation y = mx + b.

Front

What is the significance of the y-intercept in a linear equation?

Back

It indicates the point where the line crosses the y-axis.

Front

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

Back

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