Write an equation of the line below.

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 = 5

y1 = 4

x2 = 4

x1 = 0

Slope, m = (5 - 4)/(4 - 0) = 1/4

To determine the intercept, c, we would substitute m = 1/4, x = 4 and y = 5 into y = mx + c. It becomes

5 = 1/4 × 4 + c

5 = 1 +c

c = 5 - 1 = 4

The equation becomes

y = x/4 + 4

y=1/4x-4

step-by-step explanation: