Answer:
y = -1/6x + 0
Explanation:
Using the equation of line
y_2 - y_1 / x_2 - x_1 = y - y_1 / x_1
Using the information we are provided with
( -3, 0.5)(3 , -0.5)
y_1 = 0.5
x_1 = -3
x_2 = 3
y_2 = -0.5
-0.5 - 0.5 / 3- (-3) = y - 0.5 / x - (-3)
-0.5 - 0.5 / 3 +3 = y - 0.5 / x + 3
-1 / 6 = y - 0.5 / x + 3
Cross multiply
-1(x + 3) = 6(y - 0.5)
Open the brackets
-x - 3 = 6y - 3
-x - 3 + 3 = 6y
-x + 0 = 6y
Divide through by 6 to get y
Following the eqn y = mx + C
-x + 0 / 6 = 6y / 6
y = -x + 0 / 6
We can separate it
y = -x / 6 + 0/6
y = -1/6x + 0
Therefore, the equation of the line is
y = -1/6x + 0