Question

(6,0)46Which equation matches the graphed line?(0,4)Ay = -4x + 6By = 2/3x - 4сy = 6x-4Dy = 3/2x - 4

Answer 1

From the equation

`y=(3)/(4)x+2`

We can conclude that the y-intercept is 2

Now, let's find the x-intercept:

`\begin{gathered} 0=(3)/(4)x+2 \\ \rightarrow-2=(3)/(4)x\rightarrow-8=3x\rightarrow-(8)/(3)=x \\ \\ \Rightarrow x=-(8)/(3) \end{gathered}`

Now, the x-intercept is around -2.67

The only graph that has both the x and y intercepts we've calculated is the one from option A

Answer: A