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.$$(0,4) \text { and }(-7,0).$$

$4 / 7$

Algebra

Chapter 1

Functions and their Applications

Section 1

The Line

Functions

Oregon State University

University of Michigan - Ann Arbor

Idaho State University

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

00:59

Find the slope of the line…

01:21

02:19

00:52

00:18

01:03

01:15

00:28

02:05

00:21

01:26

00:36

00:50

00:31

00:33

for this problem. We've been given two points the 20.4 and the point negative 70 And our goal for this problem is to find the slope of the line that connects those points together. Now, in order to solve this type of problem, we really have to have a good understanding of what slope is. So let's review slope, which we usually abbreviate with an M is best remembered as rise over run. Well, what is rise? Rise? Is your vertical change up and down along the y axis. So your rise is your change in your Y values Run is horizontal change along the X axis. So run is your change in X that side to side motion? Uh huh. In math, when we talk about change, change between numbers we're looking at a difference. That's subtraction. So my change and why will be why one minus y to buy change in X will be X one minus x two. Okay, now it truly doesn't matter which point you designated 0.0.1 and which one you say is point to asses Long is your consistent Whatever point you get your white one value from you have to go to the same point to get your ex one value. So I'm just going to pick one. I'm gonna say the first one is 10.1. Just because it's first and the second one will be my second point, I could have switched. Um, this is just what I'm doing for this particular problem. So let's find our slip. Let's go to our first point. Why coordinate from the first point minus the y? Coordinate from the second for minus zero. Now we do our excess again. We go 2.1 minus 0.2. So zero minus negative. Seven. Well, that becomes 4/7. So the slope of the line connecting these two points is 4/7.

View More Answers From This Book

Find Another Textbook

Numerade Educator

02:13

$f(x)=\left(7 x^{3}\right)\left(3 x^{4}-9\right) .$ Find $f^{\prime}(x)$ in …

02:47

Given $f(x)=|2 x-5|$ (a) At what point is the function not differentiable? (…

01:02

Find the indicated limit.$$\lim _{x \rightarrow 2}\left(3 x^{2}-7\right)…

04:06

Find the indicated limit.Let $f(x)=\frac{x^{2}-4}{x+2},$ determine each …

02:40

Given the quadratic equation $a x^{2}+b x+c=0$ and $c x^{2}+b x+a=0$ prove t…

01:11

Use the vertical line test to determine if the given graph may represent a f…

01:04

The maximum possible demand for a certain commodity is 20,000 tons. The high…

Find the slope of the line passing through each pair of points.$$(-1 / 4,2 /…

06:08

Determine any function which is discontinuous at $x=1$ and $x=5$ but which h…

05:03

(a) Plot the line $4 x+6 y+12=0$. Find the area of the triangle formed by th…