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swat32
3 years ago
8

What is the equation of the line x–3y=18in slope-intercept form?

Mathematics
1 answer:
Alekssandra [29.7K]3 years ago
5 0

Answer:

y=\frac{1}{3} x-6

Step-by-step explanation:

Write down the slope-intercept form:

y=mx+b

Where m is the slope and b is the y-intercept.

To turn the equation into slope-intercept form, isolate y on the left-hand side:

x-3y=18\\-3y=18-x\\y=-6+\frac{x}{3} \\

Rearrange the equation a bit:

y=\frac{1}{3} x-6

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3 years ago
Two airplanes are flying to the same airport. Their positions are shown in the graph. Write a system of linear equations that re
wariber [46]

Answer:

Airplane #1 equation: y=5/13x+42/13

Airplane #2 equation: y=1/3x+14

Step-by-step explanation:

So to find the slope of each airplane, you use the formula y2-y1/x2-x1. That means, for airplane#1 the equation will be 9-4/15-2. Simplify this and get 5/13. Then, for airplane#2, the equation will be 12-9/6-15. Simplify this and get 3/-9 and divide each side by 3 to get 1/-3 or -1/3. Next, use point slope formula to find the system of linear equations. Point slope formula is y-y1=m(x-x1). M is the slope. Use any point from the line. In this case, I will use (2,4). Tat means the first airplane's equation would be y-4=5/13(x-2). Then y-4=5/13x-10/13. Then, convert four into a fraction with a denominator of 13. This means, you have to multiply 4 by 13 to get 52/13. Add 52/13 to -10/13 to get 42/13. That means the first equation will be y=5/13x+42/13. The second equation point will be (6,12). This means the equation will be y-12=-1/3(x-6). Simplify this to get y-12=-1/3x+2. Simplify this to get y=1/3x+14. Therefore, Airplane#1 equation will be y=5/13x+42/13 and airplane #2 equation will be  y=1/3x+14.

Hope this helps

6 0
3 years ago
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The answer is 0.0225
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3 years ago
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user100 [1]
<h2 /><h2 /><h2>Question</h2>

6.A small ball is dropped from a tall building.which equation could present the ball's height, <em>h</em>, in feet, relative to the ground, as a function of time, <em>t</em><em>,</em>in seconds

✒ Answer

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6 0
2 years ago
What is the distance between -20 and -6 on a number line
podryga [215]

Answer:

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Step-by-step explanation:

The distance is -6 - (-20)

                           -6+20

                                 14

4 0
3 years ago
Read 2 more answers
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