Question

At 2 hours before sunset, the temperature is 0°F. At 2 hours after sunset, the temperature is −4°F. Identify the slope, y-intercept, x-intercept, and equation that represents the temperature, y, as it changes over time, x.

Answer 1

Answer:

$Slope = -1$

$y = -2$ --- y intercept

$x = -2$ ---- x intercept

$y = -x - 2$ --- equation

Step-by-step explanation:

Given

Represent temperature with y and time with x

When

$y = 0F; x = 2hrs\ before\ sunsets$

$y = -4F; x = 2hrs\ after\ sunset$

Solving Slope;

$Slope = \frac{y_2 - y_1}{x_2 - x_1}$

$Slope = \frac{-4 - 0}{2 - (-2)}$

$Slope = \frac{-4 - 0}{2 +2}$

$Slope = \frac{-4}{4}$

$Slope = -1$

Using

$Slope = \frac{y - y_1}{x - x_1}$, we can get the equation

Where

$Slope = -1$

$x_1 = -2$

$y_1 = 0$

This gives:

$-1 = \frac{y - 0}{x -(-2)}$

$-1 = \frac{y}{x +2}$

Cross multiply

$y = -x - 2$

Take x as 0; to solve the y intercept

$y = -0 - 2$

$y = -2$

Take y as 0; to solve the x intercept

$0 = -x -2$

$x = -2$