Question

What is the equation of the line

Answer 1

Answer:

y=1/2x+2

Step-by-step explanation:

Answer 2

Answer: y = 1/2x + 2

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

From the graph,

y2 = 4

y1 = 2

x2 = 4

x1 = 0

Slope,m = (4 - 2)/(4 - 0) = 2/4 = 1/2

To determine the y intercept, we would substitute x = 4, y = 4 and

m = 1/2 into y = mx + c. It becomes

4 = 1/2 × 4 + c

4 = 2 + c

c = 4 - 2 = 2

The equation becomes

y = x/2 + 2