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The line with equation $y=2 x+3$ is reflected in the $y$ -axis. Find an equation of the image line....

Question

The line with equation $y=2 x+3$ is reflected in the $y$ -axis. Find an equation of the image line.

The line with equation $y=2 x+3$ is reflected in the $y$ -axis. Find an equation of the image line.



Answers

The line with equation $y=2 x+3$ is reflected in the $y$ -axis. Find an equation of the image line.

This question gives us the equation. Why is equal toe to over three minus two. This is put into, of course, the soap intercept form of what MX plus be fussy, rather, Which makes it such that first of all, we confined the slope of the equation and which is to over three and the X and A Y intercept brother as negative to here. So why intercept is negative From here, we can graph such equation. So first of all, the white intercepts gonna be a negative too. So it's going to be here. And for every, um, we we go to the right we go up to so we can state that 123 X intercept is gonna be at 30 and that if we go three to the left, go down to and it's gonna go like that, which makes us so that we can find the shape of this particular graph. So if we quickly draw in a line that goes like such, that would be the general shape of the graph. So this would satisfy our equations here. We know that the slope is to over three, and the Y intercept is negative. Two on door graph is gonna go like such

Okay, so we have the equation. Why equals three X Plus two. And we were asking to find the slope of this line. The slope of the line is always your coefficient with X. So in this case, the question is asking What is the slope of this line? And our answer is very straightforward. The number

Showing this problem. We're given this slope, which equals negative too. And we're giving a Y in your set of three and where I have to find the equation. So here, since they already gave us a slope and the Y intercept, we can just simply use openers that form. So slope intercept perform is why equals MX plus B show. If you plug everything in, why goes negative to X plus three. There you have your answer.

We know why it was expose five is reflected in the X axis. Therefore, we know that we end up with Xnegative. Why therefore we know why is replaced with negative Why So we have negative y equals X plus five. Write this in terms of positive. Why? Why is negative parentheses X plus five If you want to distribute that you end up with white was negative x minus five.


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