Question

Which equation contains the set of ordered pairs below?

{(-3, -4.5), (-1, -3.5),(1,-2.5)(6,0)}
A. y=1/2x+6
B. y=1/2x-3
C. y=2x-3
D. y = 2x + 6

Answer 1

The equation that contains the set of ordered pairs is y = 1/2x - 3.

Step-by-step explanation:

To find the equation that contains the given set of ordered pairs, we need to determine the slope and y-intercept. We can do this by calculating the slope using the formula: m = (Y2 - Y1) / (X2 - X1). Let's calculate the slope using the first two points, (-3, -4.5) and (-1, -3.5):

m = (-3.5 - (-4.5)) / (-1 - (-3))

m = (-3.5 + 4.5) / (-1 + 3)

m = 1 / 2

Now let's substitute the slope and one of the points into the slope-intercept form, y = mx + b, and solve for the y-intercept, b:

-4.5 = (1/2)(-3) + b

-4.5 = -3/2 + b

b = -4.5 + 3/2

b = -4.5 + 1.5

b = -3

Therefore, the equation that contains the set of ordered pairs is: y = 1/2x - 3