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Vesnalui [34]
3 years ago
6

Find the equation of the line that goes through the point (4, -3) and has a slope of 0.

Mathematics
1 answer:
ycow [4]3 years ago
7 0

Answer:

y = - 3

Step-by-step explanation:

A line with a slope of 0 is horizontal and parallel to the x- axis with equation

y = c

where c is the value of the y- coordinates the line passes through.

The line passes through (4, - 3 ) with y- coordinate - 3, then

y = - 3 ← equation of line

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Answer: x=-10

Step-by-step explanation:

Let's solve your equation step-by-step.

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Step 1: Simplify both sides of the equation.

6.2x+8=3(1.4x−4)

6.2x+8=(3)(1.4x)+(3)(−4)(Distribute)

6.2x+8=4.2x+−12

6.2x+8=4.2x−12

Step 2: Subtract 4.2x from both sides.

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Use elimination to solve the system of equations:
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<span><span><span><span>2x</span>+<span>3y</span></span>=1</span>;<span><span>x+<span>4y</span></span>=<span>−2

</span></span></span>Steps:

<span>Multiply the second equation by -2, then add the equations together.

</span><span>(<span><span><span>2x</span>+<span>3y</span></span>=1</span>)

</span><span><span>−2</span><span>(<span><span>x+<span>4y</span></span>=<span>−2</span></span>)

</span></span>Becomes:

<span><span><span>2x</span>+<span>3y</span></span>=1

</span><span><span><span>−<span>2x</span></span>−<span>8y</span></span>=4

</span>Add these equations to eliminate x:

<span><span>−<span>5y</span></span>=5

</span>Then solve<span><span>−<span>5y</span></span>=5</span>for y:

<span><span><span>−<span>5y</span></span><span>−5</span></span>=<span>5<span>−5</span></span></span>(Divide both sides by -5)

<span>y=<span>−1

</span></span>Now that we've found y let's plug it back in to solve for x.

Write down an original equation:

<span><span><span>2x</span>+<span>3y</span></span>=1

</span>Substitute<span>−1</span>foryin<span><span><span><span>2x</span>+<span>3y</span></span>=1</span>:

</span><span><span><span>2x</span>+<span><span>(3)</span><span>(<span>−1</span>)</span></span></span>=1

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<span><span>2x</span>=4

</span><span><span><span>2x</span>2</span>=<span>42</span></span>(Divide both sides by 2)

<span>x=2

</span>Answer:

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