help please and thanks

Question

the relationship between altitude and the boiling point of a liquid is linear. at an altitude of 8500 ft, the liquid boils at 199.4 degrees F. at an altitude of 4200 ft, the liquid boils at 206.28 degrees F. Write an equation giving the boiling point b of the liquid, in dergrees fahrenheit, in terms of altitude a, in feet. What is the boiling point of the liquid at 2500 ft?

 

Answer 1

1. The equation of a line in algebraic form is: y=mx+b, where:
2. y (or in this case, b the boiling point) is the dependent variable.
3. x (or in this case, a, the altitude) is the independent variable.
4. m is the slope.
5. b is the y-intercept.
6. a (altitude) is x, and b (boiling point) is y, given two points: (8500,199.4) and (4200,206.28)
7. find the slope using the formula, then find the y-intercept
8. write the final equation then substitute to find the boiling point at 2500 ft to get your final answer