Question

Which equations represent a line that passes through points given the table

Answer 1

y - 1 = -1/6(x + 4)

y = -1/6 x + 1/3

y - 2 = -1/6 (x+10)

Explanation:

To write the equation of the line, calculate the slope between two points in the table using the slope formula.

`m = (y_2-y_1)/(x_2-x_1)= (2-1)/(-10--4)= (1)/(-10+4)=-(1)/(6)`

Substitute m = -1/6 and (-4,1) into the point slope form:

y - 1 = -1/6(x - -4)

y - 1 = -1/6(x + 4)

y - 1 = -1/6x - 4/6

y = -1/6x -4/6+6/6

y = -1/6 x + 2/6

y = -1/6 x + 1/3

The point (-10, 2) could have also been chosen and resulted in

y - 2 = -1/6 (x+10)