Question

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). y 2 1 -5 4 2 3 1 4 А A B В -3 The slope of diagonal AB is and its equation is

Answer 1

Given the information on the coordinate plane, we can see that the points A and B are (-2,-2) and (2,-2) respectively. Then, to find the slope we have:

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

We have that the slope is 0, and to find the equation, we can use the equation y=mx+b to find out, using either points A or B:

`\begin{gathered} y=mx+b \\ (x,y)=(-2,-2) \\ m=0 \\ \Rightarrow-2=0\cdot(-2)+b \\ \Rightarrow-2=b \end{gathered}`

Therefore, the equation of the diagonal AB is y=-2