Question

determining slope and y-intercept
when janelle woke up, it was (-3) degrees fahrenheit outside. as the morning progressed, the temperature rose 2 degrees every hour.
which line on the graph could represent this scenario?
(a(x))
(f(x))
(g(x))
(h(x))

Explanation:

Step1: Define linear temperature model

The temperature scenario follows a linear function $y = mx + b$, where $m$ is the hourly temperature change (slope), and $b$ is the initial temperature (y-intercept).

Step2: Identify slope and intercept

Initial temperature $b = -3$, slope $m = 2$. The function is $y = 2x - 3$.

Step3: Match to graph lines

• $a(x)$: Negative slope (decreasing), eliminate.
• $f(x)$: Positive slope, y-intercept $+6$, eliminate.
• $g(x)$: Positive slope, y-intercept $-3$, matches $y=2x-3$.
• $h(x)$: Small positive slope, y-intercept $0$, eliminate.

Answer:

g(x)