CORRECT ANSWER WILL BE MARKED BRAINLEST NEED THIS ASP!!!

Which of the following rules describes the function graphed below?

On a coordinate plane, points are at (negative 1, 1), (1, 2), (3, 3), (5, 4).

a.
Output = Input
c.
Output = (0.5)(Input) + 1.5
b.
Output = (2)(Input) – 3
d.
Output = (1.5)(Input) + 3

Please select the best answer from the choices provided

A
B
C
D

So the best way to solve this would be to use slope-intercept form. Slope intercept form is [tex]y=mx+b[/tex] where [tex]m[/tex] is the slope of the line and [tex]b[/tex] is the y-intercept. We also know that [tex]x[/tex] is the input and [tex]y[/tex] is the output.

Now that we know what slope-intercept form is we need to find the slope. to do this we would use the equation [tex]m=\frac{y2-y1}{x2-x1}[/tex]. we can take the points (1,2) and (5,4) and plug them in to get [tex]m=\frac{4-2}{5-1}[/tex]. When we simplify this we get [tex]m=\frac{2}{4}[/tex] which means our slope is [tex]\frac{1}{2}[/tex] or [tex]0.5[/tex].

Now, we need to find the y-intercept. to do this we're going to plug in the information we know into the equation to get [tex]2=.5(1)+b[/tex]

We then start to solve for b, first by multiplying to get [tex]2=.5+b[/tex] then by subtracting both sides with .5 to get [tex]1.5=b[/tex].

Now that we've identified the slope and the y-intercept, we can re-write our equation in the proper form as [tex]y=0.5x+1.5[/tex]. This means that option c is the correct answer.

billgkgk billgkgk · Answer 2 · 2020-10-13T17:19:41+02:00

billgkgk billgkgk

13-10-2020

Answer:

Output = (0.5)(Input) + 1.5

Step-by-step explanation:

Find slope by dividing the difference between y-values by the difference between x-values.

(4-1)/(5-[-1]) =3/6 =0.5

Then substitute y-values and x-values from a given coordinate to determine the y-intercept.

4 = (0.5)(5) = b

4 - 2.5 = b

b= 1.5

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