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