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Give an equation of the line with the given slope and passing through the given point.$$4.1, (3, 0)$$

$y=4.1 x-12.3$

Algebra

Chapter 1

Functions and their Applications

Section 1

The Line

Functions

Oregon State University

Harvey Mudd College

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).

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Use the point-slope formul…

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Write an equation for each…

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Write the point-slope form…

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Write a point-slope equati…

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Find the slope of the line…

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Find an equation of the li…

for this problem, we need to find the equation of a line with a given slope that goes through a given point. Now, for this particular problem are Slope is 4.1 and the point that we're going through is the 0.0.30 So how do we take this information and turn it into an equation of a line? Well, we have a few different ways we can write a line. One of the most common is slope intercept form. Why equals M X plus B? The problem with this form for this example is that I don't have be I don't have my y intercept. The point we've been given actually is an intercept. But it's the X intercept, not the Why. So I can't use it to give me be in this case. Well, fortunately, we have another format that we can use. Um, it is very unimaginatively named the point slope form. It's called that because it requires us to know both the point and the slope. So the format looks like this. Why, minus why one equals m times X minus X one. So our point is X one y one. We want to make sure we put them in the right positions. Make sure the X goes where the X is. The wide goes for the why and then our slope. Just like with our slope intercept form, We're going to represent slope with an M. Okay, so let's take the information we know and plug it into this equation I have Why minus now The Y coordinate of my point is zero slope is 4.1 and I have X minus X up one and that x one is my ex coordinated my point. That's three. So now that I put it in here, let's put it into slope intercept form. That's one of the most common ways to record thick way Asian of the line. So left hand side just simplifies toe. Why on the right hand side, I'm going to get rid of my parentheses. That gives me 4.1 x minus 12.3. Here is the equation of are given line

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