- In order to calculate the rate of change of the data of the given table, use the given formula:
m = (y2 -y1)/(x2 - x1)
where (x1,y1) and (x2,y2) are two pair of values of the table, use the values (0,35) and (2,55):
m = (55 - 35)/(2 - 0)
m = 10
The rate of change of the data is 10.
- The y-intercept of the table is the value of y when x=0. You can notice in the table that y = 35 when x=0, then, the y-intercept is 35.
- The general equation of a linear equation is given by:
y = mx + b
where m is the rate of change and b the y-intercept
replace the values of m and b:
y = 10x + 35