Question

1. the temperature in a town decreases by 5°f eac hour. if the current temperature is 68 degrees, wr an equation in slope-intercept form to find the temperature, y, after a certain number of hours, x

m =
=
quation:

Explanation:

Step1: Identify slope (rate of change)

The temperature decreases by $5^\circ\text{F}$ per hour, so the slope $m$ is the rate of change:
$m = -5$

Step2: Identify y-intercept (initial value)

The current (initial) temperature is $68^\circ\text{F}$, which is the y-intercept $b$ (temperature when $x=0$):
$b = 68$

Step3: Write slope-intercept equation

Slope-intercept form is $y = mx + b$. Substitute $m=-5$ and $b=68$:
$y = -5x + 68$

Answer:

$m = -5$
$b = 68$
Equation: $y = -5x + 68$