Question

If x = 14 , what value of Y is a solution to this equation ? A. -7 B. -8 C. -10 D. -30

Answer 1

Given

Graph

Procedure

Point-slope is the general form y-y₁=m(x-x₁) for linear equations. It emphasizes the slope of the line and a point on the line (that is not the y-intercept).

Point 1. (-2,0)

Point 2. (2,-2)

`\begin{gathered} m=(y_2-y_1)/(x_2-x_1) \\ m=(-2-0)/(2--2) \\ m=-(2)/(4) \\ m=-(1)/(2) \end{gathered}`

y=mx+b

replacing (x,y) with point 1

`\begin{gathered} y=mx+b \\ 0=-(1)/(2)(-2)+b \\ 0=1+b_{} \\ b=-1 \end{gathered}`

we obtain the equation:

`y=-(1)/(2)x-1`

If x = 14 , what value of Y is a solution to this equation?

`\begin{gathered} y=-(1)/(2)(14)-1 \\ y=-7-1 \\ y=-8 \end{gathered}`

The answer is y=-8