Question

This table gives a few ( x , y ) (x,y)left parenthesis, x, comma, y, right parenthesis pairs of a line in the coordinate plane. x xx y yy − 72 −72minus, 72 25 2525 − 54 −54minus, 54 13 1313 − 36 −36minus, 36 1 11 What is the y yy-intercept of the line?

Answer 1

The y-intercept of the line is (0,7).

Given the pairs of a line in the coordinate plane are (x, y) (-72,25), (-54,13) and (-36,11).

First we will find the slope of the linear equation

The formula for calculating the slope between two points is equal to

m = (y₂-y₁) / (x₂-x₁)

take points (-54,13) and (-36.,11)

by substituting the values ​​in the above formula, we get

m = (11-13) / (- 36 - (- 54))

m = -2 / 18

m = -1 / 9

Now, we will find the equation for the line in point-slope form

y-y₁ = m (x-x₁)

we have m = -1 / 9 and (x₁, y₁) = (- 36.11)

Further, substitute the values ​​in the above equation, we get

y-11 = (- 1/9) (x + 36) ..... (1)

Convert the equation to the form of a slope intercept

y = mx + b

isolate the variable y in equation (1), we get

y-11 = (- x / 9) -4

y = (- x / 9) - 4 + 11

y = (- x / 9) +7

Here, b=7

Hence, the y-intercept of the line for the pairs of lines in the coordinate plane(x,y) is (-72,25), (-54,13) and (-36,11) is the point (0,7).

Learn more about slope from here brainly.com/question/4010502

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