Answer: the first option is the correct answer.
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 represent
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
The line passes through (0, - 3) and (8, - 5),
y2 = - 5
y1 = - 3
x2 = 8
x1 = 0
Slope,m = (- 5 - - 3)/(8 - 0) = - 2/8 =
- 1/4
To determine the intercept, we would substitute x = 0, y = - 3 and m= - 1/4 into y = mx + c. It becomes
- 3 = - 1/4 × 0 + c
c = - 3
The equation becomes
y = - x/4 - 3
