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liq [111]
3 years ago
8

What in slope-intercept form, can go through the line ( a, 2a) and (-5a, 6a)

Mathematics
2 answers:
Wittaler [7]3 years ago
7 0

Answer:

  • y = -2/3x + 8/3a

Step-by-step explanation:

<u>Given points</u>

  • (a, 2a) and (-5a, 6a)

<u>Slope-intercept form</u>

  • y = mx + b

<u>Slope of the line is</u>

  • m = (6a - 2a)/( -5a - a) = 4a/(-6a) = - 2/3

<u>The y-intercept is:</u>

  • 2a = -2/3*a + b
  • b = 2a + 2/3a
  • b= 8/3a

<u>So the line is:</u>

  • y = -2/3x + 8/3a

charle [14.2K]3 years ago
7 0

Answer:

y = -2/3 - 8/3a

Step-by-step explanation:

Find the slope using [ y2-y1/x2-x1 ]

6a-2a/-5a-a

4a/-6a

-2/3

Find the y-intercept.

y = mx + b

y = -2/3x + b

2a = -2/3(a) + b

-8/3a = b

y = -2/3 - 8/3a

Best of Luck!

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PilotLPTM [1.2K]

Answer: See explanation

Step-by-step explanation:

Your question isn't complete as you didn't give the sales tax percent. In order to solve the question, let's assume that the sales tax is 6%.

(a) What is the amount of sales tax that Mr. Speer has to pay?

This will be:

= Sales tax percent × Amount charged

= 6% × $300

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4 0
3 years ago
Find the directional derivative of f(x,y,z)=2z2x+y3f(x,y,z)=2z2x+y3 at the point (−1,4,3)(−1,4,3) in the direction of the vector
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f(x,y,z)=2z^2x+y^3

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Harlamova29_29 [7]
<span>The <u>correct answer</u> is:

$31.40.

Explanation<span>:

Since 6 oranges cost $3.00, we can divide to find the cost of one orange:

3.00/6 = $0.50. Each orange costs $0.50.

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Each grapefruit costs $2.40; 11 of them would cost 11(2.40) = 26.40.

Together the total cost is $5+$26.40 = $31.40.</span></span>
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