Slope Intercept: Word Problems

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 represents the rate of change of y with respect to x, indicating how much y increases or decreases as x increases by 1.

Front

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

Back

The y-intercept is the value of y when x is 0, representing the starting point of the line on the y-axis.

Front

How do you find 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 of a line with a slope of -2 and a y-intercept of -4 in slope-intercept form.

Back

y = -2x - 4.

Front

If Marsha earns $15 per hour and starts with $20, what is the equation representing her total earnings after x hours?

Back

y = 15x + 20.

Front

If the admission to a fair is $5 and each ride costs $0.50, how many rides can you go on with $20?

Back

You can go on 30 rides.

Front

What does a positive slope indicate about a linear relationship?

Back

A positive slope indicates that as x increases, y also increases.

Front

What does a negative slope indicate about a linear relationship?

Back

A negative slope indicates that as x increases, y decreases.

Front

In the equation y = 3x + 5, what is the slope and what is the y-intercept?

Back

The slope is 3 and the y-intercept is 5.