Question

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

Answer 1

Answer:

option A

Step-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)

$slope m = \frac{y_2-y_1}{x_2-x_1} =\frac{12-11.5}{-21+20}=-0.5$

m= -0.5

Now plug in (-21,12)  and find out b

y=mx+b

12= -0.5(-21) + b

12= 10.5 +b

Subtract 10.5 on both sides

So b= 1.5

Equation of line is y=-0.5x + 1.5

Slope is negative so graph will be decreasing

Option A  and option C graphs are decreasing

y intercept is the b values = 1.5

y intercept is (0,1.5)

Lets find x intercept

Plug in 0 for y in the equation y=-0.5x+1.5

0 = -0.5x+1.5

subtract 1.5 on both sides

1.5 = -0.5x

Divide by -0.5

so x= 3

So x intercept is (3,0)

Option A graph has x intercept (3,0)  and y intercept (0,1.5)