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Papessa [141]
3 years ago
15

Help please! I don't understand what to do.

Mathematics
2 answers:
seropon [69]3 years ago
7 0

Answer:

y = -4x + 2

Step-by-step explanation:

The equation of a line is written in y = mx + b form, where m is the slope and when finding the slope, it is relatively easy finding the y - intercept. To find the slope of a line perpendicular to a line that you already know the slope of, the slope of a perpendicular line is the negative reciprocal. The negative reciprocal of the slope of y = 1/4 x + 5 is -4, which is the slope of the line we are trying to find. Since we have our slope, we can rewrite our equation as y = -4x + b. Now since we already have a point that it passes through, we have our y-intercept. Our y - intercept is the y coordinate when the x coordinate is 0. Since we have our point (0, 2) we have our y - intercept, which is two. Thus, our answer is y = -4x + 2.

Tanya [424]3 years ago
4 0

Answer:

y = -4x + 2

Step-by-step explanation:

Well first we have the equation y = 1/4x + 5.

And we have to find the line that is perpendicular to that line that also passes through the point (0,2) so first we have to graph it. Look at the image below.

So we have to find a line that is perpendicular meaning it crosses y = 1/4x + 5 and makes 4 90° angles.

So to start off we know that 2 is the y intercept.

so our equation looks like this y = ?x + 2

We can keep trying x values till we get it.

But we do know that the x value has to be negative.

So the equation is y = -4x +2. Look at the other image below.

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The equation x+53=15 can be solved by performing two operations on both sides.
Wewaii [24]
Hey!


You're right! This equation can definitely be solved by performing two operations on both sides. Let me show you how it's done.

First, let's write out our equation.

<span><em>Original Equation :</em>
</span>x + 53 = 15

Now that that's done, we'll be performing two operations on both sides. The operation we'll want to do is subtracting both sides of the equation by 53. We do this to get x on its own.

<em>Original Equation :</em>
x + 53 = 15

<em>New Equation {Added Subtract 53 to Both Sides} :</em>
x + 53 - 53 = 15 - 53

Now we have to solve the equation. Let's do the left side first.

<em>Left Side of the Equation :</em>
x + 53 - 53 

<em>Left Side of the Equation {Solved} :</em>
x

Now, we'll solve the right side of the equation.

<em>Right Side of the Equation :</em>
15 - 53

<em>Right Side of the Equation {Solved} :</em>
-38

Now we can put both solutions to both sides of the equation together.

<em>New Equation :</em>
x = -38

Since this cannot be simplified any farther, this is our final answer. And that's it!

<em>So, now we know that in the equation x + 53 = 15,</em>  x = -38

Hope this helps!


- Lindsey Frazier ♥
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Answer:

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Step-by-step explanation:

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