Tom has just received a new job offer he is told his starting salary will be at 75000 per year he is also told that his salary will be probably be 83000 in the next 4 years
Let x be the number of years and y be the salary
his starting salary will be at 75000 per year
so when x=0 , y = 75000
In 4 years, the salary will be 83000
so when x = 4 , y = 83000
We got two points (0,75000) and (4,83000)
Now we find slope and frame equation
The formula for slope using two points

Replace all the values and find out slope


So slope = 2000
Now we use point slope formula

We use slope m = 2000 and (0,75000)
y - 75000= 2000(x-0)
Add 75000 on both sides
y = 2000x + 75000
Required linear equation is y = 2000x + 75000