Answer:
Option A 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
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 = 6
y1 = 2
x2 = 3
x1 = 1
Slope,m = (6 - 2)/(3 - 1) = 4/2 = 2
To determine the intercept, we would substitute x = 3, y = 6 and
m= 2 into y = mx + c. It becomes
6 = 2 × 3 + c = 6 + c
c = 6 - 6 = 0
The equation becomes
y = 2x
