Question

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).

The slope of diagonal AB is -------?
, and its equation is ----------?
.

Answer 1

1. The slope of the diagonal can be determined by the formula rise/run where "rise" is the change in y and "run" is the change in x. Since we know that the y coordinate of B and A are the same, "rise" would be equal to zero therefore the slope would immediately be zero.

ANSWER: The slope of diagonal AB is 0.

2. The general equation of any line is determined by y = mx + b where m is the slope of the line and b is its y-intercept. Since we know that the slope is equal to zero, we just need to find the y-intercept. It is evident in the graph that the line passes through y = -2 therefore this would be the intercept.

The equation would then be y = -2. We just add some restrictions to its domain since the values of x of line AB only runs from -2 to 2.

ANSWER: Its equation is
`y = -2` -2 ≤ x ≤ 2.