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
[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Replace all the values and find out slope
[tex]\frac{83000-75000)}{4-0}[/tex]
[tex]\frac{8000}{4}= 2000[/tex]
So slope = 2000
Now we use point slope formula
[tex]y - y_1 = m (x-x_1)[/tex]
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
