Question

Use these two points to fill in the equation for the line that passes through (-6,-9) and (2,3).

y=[ Select ]x + [ Select ]

options for first "select": 4/3, 2/3, 1.5, 0.75
options for 2nd "select": -9, 3, -3, 0

Answer 1

Y = mx + b

where m is the slope of the line and b is the y-intercept.

To find m, we can use the formula for slope:

m = (y2 - y1) / (x2 - x1) = (3 - (-9)) / (2 - (-6)) = 12/8 = 3/2

Next, we can use one of the points and the slope to find b:

-9 = (3/2) * -6 + b
-9 = -9 + b
b = 0

So, the equation of the line is:

y = (3/2)x + 0

Therefore, the options for the first "select" are 4/3 or 1.5 and the options for the 2nd "select" are 0.