Question

The following ordered pairs are solutions to a linear equation: (-20, 11.5), (-21, 12), and (-22, 12.5).

Answer 1

The generic equation of the line is:
 $y-yo = m (x-xo)$
 Where,
 m: slope of the line
 (xo, yo): ordered pair that belongs to the line
 The slope is given by:
 $m=\frac{y2-y1}{x2-x1}$
 Substituting values we have:
 $m=\frac{12-11.5}{-21-(-20)}$
 Rewriting we have:
 $m=\frac{0.5}{-21+20}$
 $m=\frac{0.5}{-1}$
 $m=-0.5$
 By choosing an ordered pair we have:
 $(xo, yo) = (-21, 12)$ Substituting values in the generic equation:
 $y-12=-0.5(x-(-21))$
 Rewriting:
 $y=-0.5(x+21)+12$
 $y=-0.5x-10.5+12$
 $y=-0.5x+1.5$
 Answer:
 the ordered pairs in the solution set of this linear equation is given by:
 Option A

Answer 2

Answer:

The answer is A

Step-by-step explanation:

You are automatically able to eliminate b and d and based on the data given A makes the most logical sense out of A and D