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8_murik_8 [283]
3 years ago
8

Please help me! Write the slope intercept form of an equation for the line that passes through (0,3) and is perpendicular to 9x-

4y=-8
Mathematics
1 answer:
lesya692 [45]3 years ago
6 0

Answer:

y = -4/9x + 3

Step-by-step explanation:

Keep in mind:

- the equation for slope-intercept form is y = mx + b.

- "y" means output, "x" means input, "m" means slope, and "b" means y intercept

The first step in this equation is to turn 9x - 4y = -8 into slope intercept form.

Step 1: subtract 9x from both sides to begin to isolate y.

9x - 4y = -8

-4y = -9x - 8

Step 2: divide both sides by -4 to further isolate y.

y = 9/4x + 2

Now, we have the equation for the perpendicular line. Remember, the slope of a line is the opposite reciprocal of the slope of the line perpendicular to it.

This means that the slope of the line we are trying to find the equation for is -4/9.

Now that we have a slope and a point the line passes through, (0, 3), we can find the equation. Plug the coordinates of the point and the slope into the equation for slope-intercept form.

3 = -4/9(0) + b

To find the equation, solve for b.

Step 1: Simplify -4/9(0)

3 = 0 + b

Step 2: Simplify 0 + b

3 = b

Now that we know b and m, we have our equation.

The final answer is y = -4/9x + 3.

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3 years ago
Describe and correct the error in finding the measure of the angle
DerKrebs [107]

Sorry, it's late, and I'm a bad explainer.

The error is adding (2x-12) with x and 30. This is wrong because you are adding the angles inside the triangle and you are assuming that (2x - 12) is the unlabeled angle INSIDE the triangle, when it is the exterior angle/outside of the triangle.

A straight line is also 180°.

(2x - 12) + ? = 180

30 + x + ? = 180

If you look at the equations, and put parentheses around 30 + x, (30 + x) and (2x - 12) should be the SAME NUMBER. So you could set them equal to each other to find x. (or you could also look at the picture and see that they both need/are missing the same angle)

2x - 12 = 30 + x

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5 0
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Which of the following is the solution for 13x-5x+6=6+8x?
Vikentia [17]
The answer will help you.

<span><span><span><span>13x</span>−<span>5x</span></span>+6</span>=<span>6+<span>8x

</span></span></span><span><span><span><span><span>13x</span>+</span>−<span>5x</span></span>+6</span>=<span>6+<span>8x

</span></span></span><span><span><span>(<span><span>13x</span>+<span>−<span>5x</span></span></span>)</span>+<span>(6)</span></span>=<span><span>8x</span>+<span>6

</span></span></span><span><span><span>8x</span>+6</span>=<span><span>8x</span>+6

</span></span><span><span><span>8x</span>+6</span>=<span><span>8x</span>+<span>6

</span></span></span><span><span><span><span>8x</span>+6</span>−<span>8x</span></span>=<span><span><span>8x</span>+6</span>−<span>8x

</span></span></span><span>6=6

</span><span><span>6−6</span>=<span>6−6

</span></span><span>0=<span>0

It has a real numbers are solutions.

And the answer is A.</span></span>
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elena-s [515]

Answer:

X=36

Step-by-step explanation:

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Right angle 90 subtract 54

The missing angle x is 36

6 0
3 years ago
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