Question

Write the equation for the graph below.Tomato Prices108Price (In dollars)01 2 3 4 5 6 7 8 9 10Weight(in pounds)

Answer 1

The form of the linear equation is

y = m x + b

m is the slope of the line

b is the y-intercept

The rule of the slope is

`m=(y2-y1)/(x2-x1)`

(x1, y1) and (x2, y2) are two points on the line

Since (0,0) and (10, 12) are two points on the line

x1 = 0 and y1 = 0

x2 = 10 and y2 = 12

Now substitute them in the rule to find m

`m=(12-0)/(10-0)=(12)/(10)=1.2`

The slope of the line is 1.2

Substitute it in the form of the equation

y = 1.2 x + b

b is the y-intercept which means value y at x = 0

Since at x = 0, y = 0

Then b = 0

The equation of the line is

y = 1.2 x