Slope Intercept From- Word Problems

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 'b' represent in the equation y = mx + b?

Back

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

Front

How do you identify the slope from a word problem?

Back

The slope represents the rate of change, often described as 'per' something (e.g., dollars per hour).

Front

Write the equation for a situation where a person pays a $10 fee plus $2 per hour.

Back

y = 2x + 10.

Front

What is the meaning of 'm' in the slope-intercept equation?

Back

The slope, which indicates how steep the line is and the direction it goes.

Front

If a bike rental costs $5 plus $3 per hour, what is the slope?

Back

The slope is 3, representing the cost per hour.

Front

Write the equation for a situation where a person has $50 and spends $5 per day.

Back

y = -5x + 50.

Front

What does a negative slope indicate in a word problem?

Back

It indicates a decrease in value over time or with respect to another variable.

Front

In the equation y = 4x + 10, what does 4 represent?

Back

The slope, indicating that for every increase of 1 in x, y increases by 4.

Front

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

Back

Identify the fixed cost (b) and the variable cost (m), then write the equation as y = mx + b.