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Help please!!!!! Thank you

Help please!!!!! Thank you-example-1
User LuMa
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1 vote

Answer:

C

Explanation:

So we know that:


f(3)=-2\text{ and } f(4)=-4

This is the same as saying we have two coordinates: (3,-2) and (4,-4).

Let's find the equation of the linear function.

First, let's find the slope:


m=(y_2-y_1)/(x_2-x_1)

Substitute (3,-2) for x₁ and y₁ and let (4,-4) be x₂ and y₂:


m=(-4--2)/(4-3)

Simplify:


m=-2/1=-2

So our slope is -2.

Now, use the point-slope form:


y-y_1=m(x-x_1)

Let's use (3,-2) for x₁ and y₁ and use -2 for m:


y+2=-2(x-3)

Now, we can figure out the x-intercept.

Recall that the x-intercept is when the graph touches the x-axis.

In other words, the y-value would be 0. It will be (x,0).

So, to solve for the x-intercept, substitute 0 for y and solve for x:


0+2=-2(x-3)

Simplify and distribute the right:


2=-2x+6

Subtract 6:


-4=-2x

Divide both sides by -2:


x=2

So, our x-intercept is (2,0)

User Jfrej
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