Answer:
y = -x/3 - 4/3
Explanation:
Equation of a line
y_2 - y_1 / x_2 - x_1 = y - y_1 / x - x_1
We are provided with Two points
( -3 , -1) and (6 , -4)
x_1 = -3
y_1 = -1
x_2 = 6
y_2 = -4
Inserting the values given into
(y_2 - y_1)/ (x_2 - x_1) = (y - y_1) / (x - x_1 )
-4 - (-1) / 6 - (-3) = y - (-1) / x - (-3)
-4 + 1 / 6 + 3 = y + 1/ x + 3
-3/9 = y + 1 / x + 3
Cross multiply
-3( x + 3) = 9( y + 1)
Open the brackets
-3x - 3 = 9y + 9
Following the equation of a line
y = mx + C
Make y the subject of the formula
-3x - 3 = 9y + 9
-3x - 3 - 9 = 9y
-3x - 12 = 9y
Divide both sides by 9 to get y
-3x - 12 / 9 = 9y / 9
y = -3x - 12 /9
We can separate it
y = -3x /9 - 12 / 9
y = -1x/3 - 4/3
y = -x/ 3 - 4/3