Respuesta :

Answer:

Part A ) Equation represents a Linear Function.

Part B )

[tex]Slope = \frac{9}{5}\\y-intercept\\F=32[/tex]

Step-by-step explanation:

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

[tex]F=\frac{9}{5}\times C + 32[/tex]

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,

∴ [tex]F=\frac{9}{5}\times C + 32[/tex]  is a linear function as C independent variable and capital F as dependent variable.

Part B:

[tex]y = mx + c\\[/tex]

represent a straight line having

slope = m

y - intercept = c

So, on comparing the given degrees and Fahrenheit relation equation [tex]F=\frac{9}{5}\times C + 32[/tex]    we will get

[tex]Slope = \frac{9}{5}\\y-intercept\\F=32[/tex]