Writing Slope-Intercept Form Equation from Situations

Front

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

Back

The slope-intercept form is 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 where the line crosses the y-axis.

Front

How do you identify the fixed cost in a situation described by a linear equation?

Back

The fixed cost is the value of y when x is 0, often represented by the y-intercept (b) in the equation.

Front

In the equation y = 0.50x + 20, what does 0.50 represent?

Back

0.50 represents the cost per text message, which is the slope of the equation.

Front

In the equation y = 8x + 15, what does 15 represent?

Back

15 represents the one-time setup fee charged by the Custom T-Shop, which is the y-intercept.

Front

Write the slope-intercept form for a situation where a taxi charges a $5 pickup fee plus $2 per mile.

Back

y = 2x + 5.

Front

Write the slope-intercept form for a plumber charging $50 for a service call plus $25 per hour.

Back

y = 25x + 50.

Front

What is the total cost equation for a speeding ticket that costs $10 per hour over the limit plus $115 court cost?

Back

y = 10x + 115.

Front

How do you convert a word problem into a slope-intercept equation?

Back

Identify the fixed cost (y-intercept) and the variable cost (slope), then write the equation in the form y = mx + b.