Question

65
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
-5
-4
-3
2.
2
2--
The slope of diagonal PQ is
, and its equation is​

Answer 1

Answer:

see explanation

Step-by-step explanation:

Calculate the slope m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = P(- 2, 2) and (x₂, y₂ ) = Q(2, 2)

m = $\frac{2-2}{2+2}$ = $\frac{0}{4}$ = 0 ← slope of line PQ

This indicates the line PQ is horizontal and parallel to the x- axis with equation

y = c

where c is the value of the y- coordinates the line passes through.

The line passes through (- 2, 2) and (2, 2) with y- coordinates of 2

Thus y = 2 ← equation of line PQ