MATHEMATICS HIGH SCHOOL

The endpoints of GE are located at G(–6, –4) and E(4, 8). Using slope-intercept form, write the equation of GE.

Answers

Answer 1
Answer:

The equation of the line in slope-intercept form is:

Where,

m: slope of the line

b: cutting point with the y axis.

For the slope of the line we have:

m=(y2-y1)/(x2-x1)

Substituting values we have:

m=(-4-8)/(-6-4)

Rewriting we have:

m=(-12)/(-10)

m=(6)/(5)

Then, we choose an ordered pair:

Substituting values in the generic equation of the line we have:

y-8 = (6)/(5) (x-4)

Rewriting we have:

y = (6)/(5)x -(24)/(5) + 8

y = (6)/(5)x -(24)/(5) + (40)/(5)

y = (6)/(5)x + (16)/(5)

Answer:

The equation of the line in slope-intercept form is:

y = (6)/(5)x + (16)/(5)
Answer 2
Answer:

Answer:

y = (6)/(5) x + (16)/(5)

Step-by-step explanation:

The slope-intercept form is y = mx + b, where "m" is the slope and 'b" is the y-intercept.

Given: G(-6, -4) and E(4, 8)

Now we can use these points G(-6, -4) and E(4, 8) and find the slope.

Slope (m) = (y2 - y1)/(x2 - x1)

Here x1 = -6, y1 = -4, x2 = 4 and y2 = 8

Plug in these values in the above formula, we get

slope(m) = (8 - (-4))/(4 -(-6))

= (12)/(10)

Slope (m) = (6)/(5)

Now we can use the formula (y - y1) = m(x - x1) and find the required equation.

We can plug in m value and (x1, y1) value and find the equation.

y - (-4) = 6/5(x - (-6))

y + 4  = 6/5(x + 6)

Using the distributive property a(b + c) = ab + ac, we get

y + 4 = 6/5 x + 36/5

y = 6/5 x + 36/5 - 4

y =6/5 x +(((36 - 20))/(5)

y = (6)/(5) x + (16)/(5)

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Answers

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Answers

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Step-by-step explanation:

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Answers

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Eighty percent of the tourists in a group took a bus and the rest took a taxi. The bus fare per person is 40% less than the taxi fare per person. All together they paid $68 for the tour transportation, and the bus fare per person is $3. How many tourists are in the group?

Answers

Answer:

Bus = 16 Tourists and Taxi = 4 Tourists

Total = 20 Tourists

Step-by-step explanation:

According to the Question,

  • Given, 80% of the tourists in a group took a bus and 20% took a taxi. Thus the Ratio of Tourists Travel by Bus toTaxi is 4x:1x.
  • The bus fare per person is 40% less than the taxi fare per person. And Also Given that the bus fare per person is $3 Thus, The Taxi fare per person would be $5.

All together they paid $68 for the tour transportation.

  • 4x × 3 + x × 5 = 68
  • 12x × 5x = 68
  • 17x =68
  • x=4

And, the Ratio of Tourists Travels by Bus toTaxi is 4x:1x . So,the Tourists Travel by Bus to Taxi is 16 and 4 Respectively . Total = 20 Tourists are in the Group.

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Answers

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The difference would be by how many numbers they differ, so we subtract the smaller from the bigger:

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Answers

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