Which equation represents a line that passes through the two points in the
table?

The equation that represents the line that passes through the given points is y - 1 = (x - 3) ⇒ A

Step-by-step explanation:

The point-slope form of the linear equation is y - y1 = m(x - x1), where

The rule of the slope is m = , where

∵ The line passes through points (3, 1) and (6, 6)

∴ x1 = 3 and y1 = 1

∴ x2 = 6 and y2 = 6

→ Substitute them in the rule of the slope to find it

∵ m =

∴ m =

→ Substitute the value of x1, y1, and m in the form of the equation above

∵ y - 1 = (x - 3)

∴ The equation that represents the line that passes through the given

   points is y - 1 = (x - 3)

the image of (6, 9) under a dilation is (4, 6). the scale factor is