Explanation Consider the linear equation y = m x + b . The slope is also given by the formula m = Δ y Δ x . Consider the definition of the slope: Provided a linear equation y = m x + b , for every 1 -unit change in x the corresponding change in y is m -unit. Consider the linear equation y = 3 x + 1 Observe that here m = 3 , b = 1 . Substitute x = 0 in the equation y = 3 x + 1 : y = 3

7th Edition

ISBN: 9780357667286

Author: Waner

Publisher: CENGAGE L

See similar textbooks

Concept explainers

Family of Curves

A family of curves is a group of curves that are each described by a parametrization in which one or more variables are parameters. In general, the parameters have more complexity on the assembly of the curve than an ordinary linear transformation. These…

XZ Plane

In order to understand XZ plane, it's helpful to understand two-dimensional and three-dimensional spaces. To plot a point on a plane, two numbers are needed, and these two numbers in the plane can be represented as an ordered pair (a,b) where a and b are…

Euclidean Geometry

Geometry is the branch of mathematics that deals with flat surfaces like lines, angles, points, two-dimensional figures, etc. In Euclidean geometry, one studies the geometrical shapes that rely on different theorems and axioms. This (pure mathematics) ge…

Lines and Angles

In a two-dimensional plane, a line is simply a figure that joins two points. Usually, lines are used for presenting objects that are straight in shape and have minimal depth or width.

Videos

Question

Chapter 1.3, Problem 116E

To determine

To fill: The provide blanks in the statement, “The slope of the line with equation y=mx+b is the number of units that increases per unit increase in .”

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 1.3, Problem 115E

Chapter 1.3, Problem 117E

Students have asked these similar questions

(10 points) Let f(x, y, z) = ze²²+y². Let E = {(x, y, z) | x² + y² ≤ 4,2 ≤ z ≤ 3}. Calculate the integral f(x, y, z) dv. E

1. Find the solution set of In(x) sin(x) ≤ 0, for x = [0,14].

Suppose you are gambling on a roulette wheel. Each time the wheel is spun, the result is one of the outcomes 0, 1, and so on through 36. Of these outcomes, 18 are red, 18 are black, and 1 is green. On each spin you bet $5 that a red outcome will occur and $1 that the green outcome will occur. If red occurs, you win a net $4. (You win $10 from red and nothing from green.) If green occurs, you win a net $24. (You win $30 from green and nothing from red.) If black occurs, you lose everything you bet for a loss of $6. a. Use simulation to generate 1,000 plays from this strategy. Each play should indicate the net amount won or lost. Then, based on these outcomes, calculate a 95% confidence interval for the total net amount won or lost from 1,000 plays of the game. (Round your answers to two decimal places and if your answer is negative value, enter "minus" sign.) I worked out the Upper Limit, but I can't seem to arrive at the correct answer for the Lower Limit. What is the Lower Limit?…

Chapter 1 Solutions

FINITE MATHEMATICS >PRINT UPGRADE<

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.

The provide blanks in the statement, “The slope of the line with equation y = m x + b is the number of units that increases per unit increase in .”

Solution Summary: The author explains that the slope of the line with equation y=mx+b is the number of units that _ increases per unit increase in __.

Concept explainers

Videos

To fill: The provide blanks in the statement, “The slope of the line with equation y=mx+b is the number of units that increases per unit increase in .”

Want to see the full answer?

Chapter 1 Solutions

The provide blanks in the statement, “The slope of the line with equation y = m x + b is the number of units that ______ increases per unit increase in ______.”

Solution Summary: The author explains that the slope of the line with equation y=mx+b is the number of units that _____ increases per unit increase in ______.

Concept explainers

Videos

To fill: The provide blanks in the statement, “The slope of the line with equation y=mx+b is the number of units that ______ increases per unit increase in ______.”

Want to see the full answer?

Chapter 1 Solutions

The provide blanks in the statement, “The slope of the line with equation y = m x + b is the number of units that increases per unit increase in .”

Solution Summary: The author explains that the slope of the line with equation y=mx+b is the number of units that _ increases per unit increase in __.

To fill: The provide blanks in the statement, “The slope of the line with equation y=mx+b is the number of units that increases per unit increase in .”