Download the App!

Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.

Get the answer to your homework problem.

Try Numerade free for 7 days

Like

Report

Find the slope of the line passing through each pair of points.$$(1 / 2,-2) \text { and }(1 / 4,-1 / 4).$$

-7

Algebra

Chapter 1

Functions and their Applications

Section 1

The Line

Functions

Oregon State University

McMaster University

Baylor University

University of Michigan - Ann Arbor

Lectures

01:43

In mathematics, a function is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output. An example is the function that relates each real number x to its square x^2. The output of a function f corresponding to an input x is denoted by f(x).

03:18

00:52

Find the slope of the line…

01:21

01:20

00:55

01:23

00:31

01:15

02:12

Find the equation of the l…

01:42

00:43

for this problem. We have been given two points, the 0.1 half negative, too, and the point 1/4 negative 1/4. And our goal is to find the slope of the line that connects them well. In order to answer this question, we have to have a pretty good understanding of what slope is. So let's review slope, which we usually abbreviate with a lower case. M is often thought of as rise over run rise. Is your vertical change up and down? So that's along the Y axis. So rise could be thought of as change in why run is sideways left to right along the X axis. So that's your change in X now in math. Any time we're talking about the change between numbers, that's a difference. That's a subtraction. So that's gonna be why one minus y two over X one minus X two. And if you notice I have the why one in the X one or both. First, it doesn't matter which point you designated 10.0.1 in which one is 10.2, but you have to be internally consistent. Whichever point you get, why one from you have to take X one from that same point. So I'm going to be very clear. I'm gonna label my points here. I'm going to say my first point is 0.0.1 my second point this point to it Didn't matter which one I said was which I'm just gonna be consistent. So I've got 10.1 and 0.2 labeled. So let's plug in some values changing my Why? So I'm gonna go 2.1 and take the y value minus the Y value from point to which is negative. 1/4 Subtracting a negative. That's going to be adding okay, X values. Again. I go to start with 0.1, take its X value one half and subtract the X value from point to which is 1/4. So that's going to give me negative two plus 1/4. Well, that is negative. 7/4 and one half minus. The fourth is just 1/4. I multiply top and bottom here by four. That's going to give me a value for my slope equal to negative seven

View More Answers From This Book

Find Another Textbook

02:07

$f(x)=\left(x^{2}+2\right)\left(x^{4}-7\right) .$ Find $f^{\prime}(x)$ in tw…

01:59

Short segments of the tangent lines are given at various points along a curv…

02:43

(a) Draw the graph of the parabola. (b) From your graph, estimate the $x$ -i…

02:27

Determine the domain of the function defined by the given equation.$h(x)…

02:05

Find the slope of the line passing through each pair of points.$$(0,-9) …

02:39

Find the equations of the lines and plot the lines from Exercise $55$.

03:06

Let $y=g(x)$ describe the lower half of the circle $x^{2}+y^{2}=16 .$ Determ…

02:26

(a) determine the domain, (b) sketch the graph and (c) determine the range o…

01:29

An equation is symmetric with respect to the $x$ -axis if replacing $y$ by $…

03:32

Determine (a) $f(x)$ ) and the domain of the composite function, (b) $g(f(x)…