Respuesta :
Y is obtained form x by multiplying x by -1/3.
so when x = -3 y = -3 * -1/3 = 3/3 = 1
when y = 0, 0 = x * -1/3 so x = 0
so b) is the correct choice.
so when x = -3 y = -3 * -1/3 = 3/3 = 1
when y = 0, 0 = x * -1/3 so x = 0
so b) is the correct choice.
The missing data values of the linear function are x = 0 and y = 1 which is the correct answer would be an option (B)
What is the equation of a linear function?
The general equation of a a linear function is y = mx + c
where m is the slope of the line and c is the intercept.
A linear equation is defined as an equation in which the highest power of the variable is always one.
What is slope of line?
Slope of line is defined as the angle of line. It is denoted by m
Slope m = (y₂ - y₁)/(x₂ -x₁ )
Consider two points on a line—Point 1 and Point 2. Point 1 has coordinates (x₁,y₁) and Point 2 has coordinates (x₂, y₂)
To determine the slope using two given pairs of points from the table, (-9, 3) and (-6, 2):
Let
x₁ = -6, y₁ = 2
x₂ = 95, y₂ = 3
Slope (m) = (3 - 2)/(-9 -(-6))
Slope (m) = 1/-3 = -1/3.
To determine c by substitute (x, y) = (-9, 3) and m = -1/3 into y = mx + c:
⇒ 3 = -1/3(-9) + c
⇒ 3 = 3 + c
⇒ 3 - 3 = c
⇒ c = 0
Substitute m = -1/3 and c = 0 into y = mx +c
⇒ y = -1/3x
Now, use the equation to determine the missing data values:
Substitute y = 0,
So x would be:
⇒ 0 = -1/3x
⇒ x = 0
Substitute x = -3,
So y would be:
⇒ y = -1/3(-3)
⇒ y = 1
Hence, the missing data values of the linear function are x = 0 and y = 1
Learn more about the linear function here:
brainly.com/question/2263981
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