Answer: y = x/3 - 4
Step-by-step explanation:
The equation of a straight line can be represented in the slope-intercept form, y = mx + c
Where c = intercept
Slope, m =change in value of y on the vertical axis / change in value of x on the horizontal axis
change in the value of y = y2 - y1
Change in value of x = x2 -x1
y2 = final value of y
y 1 = initial value of y
x2 = final value of x
x1 = initial value of x
Looking at the graph,
y2 = - 2
y1 = - 4
x2 = 6
x1 = 0
Slope,m = (- 2 - - 4)/(6 - 0) = 2/6 = 1/3
To determine the intercept, we would substitute x = 0, y = - 4 and m= 1/3 into y = mx + c. It becomes
- 4 = 1/3 × 0 + c
c = - 4
The equation becomes
y = x/3 - 4
