Question

Which equation represents the slope-intercept form of the line below?y-intercept = (0,2)slope --O A. y = - 8x + 2B.y=2x+}OC. y = -x-2OD. y = 2xC.

Answer 1

We have been given

`\begin{gathered} \text{slope as -}(3)/(7) \\ \text{and point (0, 2)} \end{gathered}`

Equation of a line in slope intercept form is given as

`\begin{gathered} y-y_1=m(x-x_1) \\ \text{where m = slope } \end{gathered}`

substituting the slope and the coordinates into the equation of the line, we have

`\begin{gathered} y-y_1=m(x-x_1) \\ y-2_{}=-(3)/(7)(x-0) \\ y-2=-(3)/(7)x+0 \\ y-2=-(3)/(7)x \\ y=-(3)/(7)x+2 \end{gathered}`

Hence, the answer is

`y=-(3)/(7)x+2`

Option A