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Maurinko [17]
3 years ago
9

What is the equation of the line ?

Mathematics
2 answers:
tatyana61 [14]3 years ago
5 0

Answer:Tthe correct answer is option A. y = 4x/3 - 1/3

Step-by-step explanation:

From the given figure we get two points of the line.

(4,5) and (-2,-3)

<u>To find the slope of line</u>

slope m = (y₂ - y₁)/(x₂ - x₁)

(x₁,y₁) = (-2,-3)

(x₂,y₂) = (4, 5)

m =  (y₂ - y₁)/(x₂ - x₁) =(5 - -3) (4 - -2) = 8/6 = 4/3

<u>To find the equation</u>

The equation is given by,

(y - y₁) = m(x - x₁)

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

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

3y + 9 = 4x + 8

3y = 4x - 1

y = 4x/3 - 1/3

Therefore the correct answer is option A. y = 4x/3 - 1/3

Akimi4 [234]3 years ago
3 0

Answer: OPTION A

Step-by-step explanation:

The equation of the line, by definition, has the following form:

y=mx+b

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

Calculate the slope as following:

m=\frac{5-(-3)}{4-(-2)}=\frac{4}{3}

Now, you must solve for the y-intercept, as you can see below:

5=\frac{4}{3}(4)+b\\ b=-\frac{1}{3}

Then, the equation of the line is:

y=\frac{4}{3}x-\frac{1}{3}

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