UNIT 2 Makeup FLASHCARDIZZ

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

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Front

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

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the equation y = mx + b.

Front

What is the equation of a line that passes through the point (0, 2) with a slope of -1?

Back

The equation is y = -x + 2.

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

The equation is y = 15x + 80.

Front

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

Back

A linear relationship is a relationship between two variables that can be represented by a straight line on a graph.

Front

How do you determine the x-intercept of a linear equation?

Back

To find the x-intercept, set y = 0 in the equation and solve for x.

Front

What is the significance of the negative sign in the slope of a line?

Back

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

Front

Write the equation for the total amount of money raised A if x leashes are sold at $5 each, with an initial cost of $120 for supplies.

Back

The equation is A = -120 + 5x.

Front

How can you find the height of an object in free fall after a certain time using a linear equation?

Back

Use the equation that models the height as a function of time, such as y = -4.5x + 90.