Unit 7 Flashcard Study Guide

Front

Find the slope between the points (2, -7) and (-1, 6).

Back

The slope is -13/3.

Front

Solve for y in the system: y = 2/5.

Back

y = 2/5 or y = 0.4.

Front

Ana runs 4 miles per day and increases her distance by ⅗ mile each week. What is the equation for the total distance she runs each day during week x?

Back

The graph models a linear function with a slope of ⅗.

Front

Find the slope between the points (-3, 3) and (7, 6).

Back

The slope is 3/10.

Front

Solve for x in the system: x = 2.

Back

x = 2.

Front

What is the formula to calculate the slope between two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

Define a linear function.

Back

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

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x.

Front

What is the y-intercept in the equation of a line?

Back

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

Front

How do you interpret a negative slope?

Back

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