Question

1. the graph below shows the relationship between temperature in degrees celsius and temperature in degrees fahrenheit.

equation:

Explanation:

Step1: Identify slope formula

The slope $m$ between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $m=\frac{y_2-y_1}{x_2-x_1}$.

Step2: Calculate slope with given points

Use points $(-10,14)$ and $(0,32)$:
$m=\frac{32-14}{0-(-10)}=\frac{18}{10}=\frac{9}{5}$

Step3: Identify y-intercept

From point $(0,32)$, the y-intercept $b=32$.

Step4: Write linear equation

Using $y=mx+b$, substitute $m=\frac{9}{5}$, $b=32$, and replace $y$ with $F$, $x$ with $C$.
$F=\frac{9}{5}C + 32$

Answer:

$\boldsymbol{F=\frac{9}{5}C + 32}$