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natulia [17]
3 years ago
5

Question 3 Find the equation of the line joining (-2,4) and (3,7)

Mathematics
1 answer:
otez555 [7]3 years ago
7 0

Answer:

y = (3/5)x+26/5 or 5y = 3x+26

Step-by-step explanation:

Applying,

The equation of a line in two point form

(y₂-y₁)/(x₂-x₁) = (y-y₁)/(x-x₁)............... Equation 1

From the question,

Given: y₂ = 7, y₁ = 4, x₂ = 3, x₁ = -2

Substitute these values into equation 1

(7-4)/[3-(-2)] = (y-4)/(x+2)

3/5 = (y-4)/(x+2)

5(y-4) = 3(x+2)

5y-20 = 3x+6

5y = 3x+6+20

5y = 3x+26

y = (3/5)x+26/5

Hence the equation of the line is y = (3/5)x+26/5 or 5y = 3x+26

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7 0
2 years ago
Find y<br> y= |x−5| + |x+5| (if x&gt;5)
velikii [3]

Answer:

y=2x if x>5.

Step-by-step explanation:

|x-5|=x-5 \text{ if } x-5 \ge 0. This means when x \ge 5.

|x-5|=-(x-5) \text{ if } x-5 \le 0. This means when x \le 5.

It doesn't matter where the 5 is included since either x-5 or -(x-5) would product 0 at x=5.

|x+5|=x+5 \text{ if } x+5 \ge 0. This means when x \ge -5.

|x+5|=-(x+5) \text{ if } x+5 \le 0. This means when x \le -5.

The same statement here about x=-5 as I about x=5 with the earlier expression.

So anyways we have x>5.

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y=2x

6 0
3 years ago
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