Answer:
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 = 4.5
y1 = 0.5
x2 = 2
x1 = - 2
Slope,m = (4.5 - 0.5)/(2 - - 2) = 4/4 = 1
To determine the intercept, we would substitute x = 2, y = 4.5 and m= 1,
4.5 = 1 × 2 + c = 2 + c
c = 4.5 - 2 = 2.5
The equation becomes
y = x + 2.5