Answer:
y = -3x / 5 - 23 / 5
y = -3x/5 - 4.6
Explanation:
From the graph, we can locate the values of x and y.
When
x1 = -6
y1 = 1
(-6, 1)
When
x2 = 4
y2 = -5
(4, -5)
To get the equation, we First find the find the slope at these points.
Slope (m) = (change in y) / (change in x)
Slope (m) = 1 - (-5) / -6 - 4
= 6 / -10
= 3 / -5
y - y1 = m ( x - x1)
y - 1 = -3/5 ( x + 6)
y - 1 = -3x / 5 - 18 / 5
Add 1 to both sides
y = -3x / 5 - 23 / 5
y = -3x/5 - 4.6