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What linear function equation can be represented by the set of ordered pairs? {(−4, −6), (0, −3), (4, 0), (12, 6)} Enter your answer in the box.

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MrGumby

Answer:

The equation of the line is y = 3/4x - 3

Step-by-step explanation:

To find the equation of the line, pick any two points and find the slope.

m(slope) = (y2 - y1)/(x2 - x1)

m = (6 - 0)/(12 - 4)

m = 6/8

m = 3/4

Now that we have the slope, we can use the slope and point-slope form to find the equation in slope intercept form.

y - y1 = m(x -x1)

y - 6 = 3/4(x - 12)

y - 6 = 3/4x - 9

y = 3/4x - 3

aksnkj

The required equation of line will be [tex]4y-3x+12=0[/tex].

It is required to find the equation of the line which passes through the points (−4, −6), (0, −3), (4, 0), (12, 6).

Minimum two points are required to find the equation of the line.

Select any two points from the given set.

Let the points are (−4, −6) and  (0, −3).

Use the two-point form to find the equation of line as,

[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)\\y-(-6)=\dfrac{-3-(-6)}{0-(-4)}(x-(-4))\\y+6=\dfrac{3}{4}(x+4)\\4y+24=3x+12\\4y-3x+12=0[/tex]

Therefore, the required equation of line will be [tex]4y-3x+12=0[/tex].

For more details, refer to the link:

https://brainly.com/question/2564656

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