Answer:
C
Step-by-step explanation:
So we know that:
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:
Substitute (3,-2) for x₁ and y₁ and let (4,-4) be x₂ and y₂:
Simplify:
So our slope is -2.
Now, use the point-slope form:
Let's use (3,-2) for x₁ and y₁ and use -2 for m:
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:
Simplify and distribute the right:
Subtract 6:
Divide both sides by -2:
So, our x-intercept is (2,0)