Question

What is the equation of the line graphed below?A. y = -2xB. y = 2xC. y=-xD. y = -x56(1,2)

Answer 1

We will take the point (1, 2) and the origin (0, 0) to get the slope m, we have

`\begin{gathered} m=(2-0)/(1-0) \\ m=(2)/(1) \\ m=2 \end{gathered}`

Equation of a line in slope-intercept form is

`\begin{gathered} y=mx+b \\ where\text{ m = slope = 2} \\ b=y-intercept=0 \end{gathered}`

so equation of the line graph becomes

`\begin{gathered} y=2x+0 \\ y=2x \end{gathered}`

Hence the answer is option B