Answer: y = x/2 - 5
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
From the graph,
y2 = - 1
y1 = - 4
x2 = 8
x1 = 2
Slope,m = (- 1 - - 4)/(8 - 2) = 3/6 = 1/2
To determine the intercept, we would substitute x = 2, y = - 4 and m= 1/2 into
y = mx + c. It becomes
- 4 = 1/2 × 2 + c
- 4 = 1 + c
c = - 4 - 1
c = - 5
The equation becomes
y = x/2 - 5