Axis -b/2a=-12/2*3=-2
vertex(-2,-3)
<span>A direct variation is of the form
y = kx
where k is the constant of variation
In most cases k is positive in which case
y increase in direct proportion to an increase in x
Example
k = 2
x = 1, y = kx = 2(1)= 2
x = 3, y = kx = 2(3) = 6
Occasionally k is negative in which case
y decreases in direct proportion to an increase in x
Example
k = -2
x = 1, y = kx = (-2)(1) = -2
x = 3, y = kx = (-2)(3) = -6
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This is not to be confused with an indirect variation which is of the form
y = k/x
where k is the constant of variation
Example
When k is positive y decreases inversely as x increases
k = 2
x = 1, y = k/x = 2/1 = 2
x = 3, y = k/x = 2/3 = 2/3
When k is negative y increases inversely as x increases
k = -2
x = 1, y = k/x = -2/1 = -2
x = 3 y = k/x = -2/3 = -2/3</span>
The slope is 3/4 and the y intercept is (0 ,-2) , Option C is the correct answer.
<h3>What is a Linear Function ?</h3>
A function whose graph is a straight line is called a Linear Function.
The equation of the straight line is given by
y = mx+c
here m is the slope and c is the intercept of the y axis.
The slope for a two given point of the straight line can be calculated as
m =(y₂-y₁)/(x₂-x₁)
Therefore for the given points
m = (1-(-2))/(4-0)
m = 3/4
For intercept we will substitute the value in the straight line equation
y = (3/4)x + c
at x = 0 , y = -2
-2 = (3/4) *0 +c
c = -2
Therefore the slope is 3/4 and the y intercept is (0 ,-2)
Option C is the correct answer.
To know more about Linear Function
brainly.com/question/21107621
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None of the answers are correct. Here is a picture showing my work. Hope this helps :)
0.25, 0.50, 0.75. Just think about the number of quarters!
Please put me as brainliest!
