The following ordered pairs are solutions to a linear equation: (-20, 11.5), (-21, 12), and (-22, 12.5).Which of the following graphs shows all of the ordered pairs in the solution set of this linear equation?

Answer:option AStep-by-step explanation:The following ordered pairs are solutions to a linear equation: (-20, 11.5), (-21, 12), and (-22, 12.5).Frame the equation of line y=mx+b using ordered pairs(-20, 11.5), (-21, 12)[tex]slope m = \frac{y_2-y_1}{x_2-x_1} =\frac{12-11.5}{-21+20}=-0.5[/tex]m= -0.5Now plug in (-21,12)  and find out by=mx+b12= -0.5(-21) + b12= 10.5 +bSubtract 10.5 on both sidesSo b= 1.5Equation of line is y=-0.5x + 1.5Slope is negative so graph will be decreasingOption A  and option C graphs are decreasingy intercept is the b values = 1.5y intercept is (0,1.5) Lets find x intercept Plug in 0 for y in the equation y=-0.5x+1.50 = -0.5x+1.5subtract 1.5 on both sides1.5 = -0.5xDivide by -0.5so x= 3So x intercept is (3,0)Option A graph has x intercept (3,0)  and y intercept (0,1.5)