Application of Slope Intercept practice

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 of a line represent in a real-world context?

Back

The slope represents the rate of change or how much y changes for a unit change in x.

Front

What is the y-intercept in a linear equation?

Back

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

Front

Write the equation for a line with a slope of 2 and a y-intercept of 3.

Back

The equation is y = 2x + 3.

Front

If a car rental company charges a flat fee of $50 plus $0.25 per mile, what is the equation for the total cost c for driving m miles?

Back

The equation is c = 0.25m + 50.

Front

How do you find the y-intercept from a linear equation in standard form?

Back

To find the y-intercept from Ax + By = C, set x = 0 and solve for y.

Front

What is the meaning of the term 'linear function'?

Back

A linear function is a function that graphs to a straight line, defined by the equation y = mx + b.

Front

If a store sells shirts for $20 each and has a fixed cost of $100, write the equation for total cost c in terms of the number of shirts s sold.

Back

The equation is c = 20s + 100.

Front

What does it mean if the slope of a line is negative?

Back

A negative slope indicates that as x increases, y decreases, showing an inverse relationship.

Front

How can 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).