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BaLLatris [955]
4 years ago
12

What do I do I need help

Mathematics
1 answer:
cluponka [151]4 years ago
4 0

Answer:

y = -3x + 8

Step-by-step explanation:

This looks like it's in slope-intercept form.

So, they want you to write it like y=mx+b, where m is the slope and b is the y-intercept.

First, find the slope.

The slope is calculated by using: \frac{y_2-y_1}{x_2-x_1}

You have several points. Let's use (1,5) and (2,2)

y_2 = 2

y_1 = 5

x_2 = 2

x_1 = 1

\frac{2-5}{2-1} = \frac{-3}{1}= -3

The slope (m) is -3.

y = -3x + b

Now, find the y-intercept.

Substitute points in for y and x.

Let's use (1,5) (x,y)

x= 1

y=5

5= -3(1) +b

5 = -3 + b

b = 8

Add b to your equation.

y = -3x + 8

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What's substitution for y=4x-1;y=2x-5
Makovka662 [10]
<span><span>y=<span><span>4x</span>−1</span></span>;<span>y=<span><span>2x</span>−5
</span></span></span><span>Step: Solve <span>y=<span><span>4x</span>−1 </span></span>for y:
</span><span>Step: Substitute <span><span>4x</span>−1 </span>for y in <span><span>y=<span><span>2x</span>−5</span></span>:
</span></span><span>y=<span><span>2x</span>−5
</span></span><span><span><span>4x</span>−1</span>=<span><span>2x</span>−5
</span></span><span><span><span><span><span>4x</span>−1</span>+<span>−<span>2x</span></span></span>=<span><span><span>2x</span>−5</span>+<span>−<span>2x</span></span></span></span>(Add -2x to both sides)
</span><span><span><span>2x</span>−1</span>=<span>−5
</span></span><span><span><span><span><span>2x</span>−1</span>+1</span>=<span><span>−5</span>+1</span></span>(Add 1 to both sides)
</span><span><span>2x</span>=<span>−4
</span></span><span><span><span><span>2x/</span>2</span>=<span><span>−4/</span>2</span></span>(Divide both sides by 2)
</span><span>x=<span>−2
</span></span><span>Step: Substitute<span>−2 </span>for x in <span><span>y=<span><span>4x</span>−1</span></span>:
</span></span><span>y=<span><span>4x</span>−1
</span></span><span>y=<span><span><span>(4)</span><span>(<span>−2</span>)</span></span>−1
</span></span><span><span>y=<span>−9</span></span>(Simplify both sides of the equation)
</span><u>Answer:</u><span><span>y=<span>−<span><span>9<span> and </span></span>x</span></span></span>=<span>−<span>2</span></span></span>
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