Question

Need help on this problem

Answer 1

Part A ) Equation represents a Linear Function.

Part B )

`Slope = (9)/(5)\\y-intercept\\F=32`

Explanation:

Temperature in degrees ( C ) and Fahrenheit ( F ) relation is given as

`F=(9)/(5)* C + 32`

Part A:

Linear function:

Linear functions are those whose graph is a straight line.

A linear function has the following form. y = f(x) = a + bx.

A linear function has one independent variable and one dependent variable.

The independent variable is x and the dependent variable is y.

Now,

∴
`F=(9)/(5)* C + 32` is a linear function as C independent variable and capital F as dependent variable.

Part B:

`y = mx + c\\`

represent a straight line having

slope = m

y - intercept = c

So, on comparing the given degrees and Fahrenheit relation equation
`F=(9)/(5)* C + 32` we will get

`Slope = (9)/(5)\\y-intercept\\F=32`