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

Give an equation of the line with the given slope and passing through the given point.$$-3,(2,5)$$

$y=-3 x+11$

Algebra

Chapter 1

Functions and their Applications

Section 1

The Line

Functions

Missouri State University

Oregon State University

McMaster 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

01:05

Find the slope of the line…

01:18

Write an equation in stand…

01:13

Find an equation of the li…

00:31

Use the slope formula to d…

00:55

Write an equation for each…

01:17

Use the point-slope formul…

00:52

Write the point-slope form…

01:35

Use the slope–intercept fo…

for this problem. We've been asked to find the equation of the line where they given Slope that goes through a given point. In this case, the slope that we've been given is negative three, and we wanted to go through the point 25 now. So we have a couple of different ways that we can write. The equation of a line one is the slope intercept for which we would write is why equals M X Plus B? Well, that's not very useful here. We have the slope, but I don't have the Y intercept just given a point. So there's another way that we can write this and that is called the point slope form, which is helpful when you have both a point in a slope like we do here. And that formula looks like this. Why, minus why one equals M times X minus X one Now x one y one is my point. So that's my point, and M is my slope. So let's take the information we've been given and put it into this formula we have why minus now, Why one That's the why coordinate of my point, which is five and that equals R Slope, which is negative three times x minus X one and my ex one is to just be careful. Some people like to put them. They want to put them in orders. They try to put the two first, but the two is the X. So that's gonna come here. A. The end where my ex one is the second number five. That's the Y coordinate. So that's the one that goes first. Okay, now, to finish this problem, let's get rid of our parentheses and let's put this into slope intercept form. That's a traditional form that we often see, uh, for lines. So if I want to get rid of my parentheses, I'll use my distributive property. It becomes negative three X plus six, and then I'll add five to both sides. I get negative three X plus 11. There is the equation for are given line

View More Answers From This Book

Find Another Textbook

02:15

In each of the following, solve the given quadratic equation exactly using t…

02:00

Solve each of the quadratics by first completing the square. When the roots …

01:45

Find the unknown.$$(5 x+4)^{2}=20$$

03:09

In each of the following exercises, solve the given inequality.$$10 x^{2…

01:04

Rewrite the equation in the form $a x^{2}+b x+c=0,$ with $a > 0,$ and the…

01:08

03:12

In each of the following exercises, solve the given inequality.$$x^{2}-7…

03:23

Plot the lines found in Exercise $7$.

02:25

In each of the following exercises, solve the given inequality.$$\frac{5…

Determine the center and radius of the given circle and sketch its graph.