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: Identify slope sign

The temperature rises, so slope $m>0$. Eliminate lines with negative slopes: $a(x)$.

Step2: Find y-intercept value

Initial temp is $-3$, so y-intercept $b=-3$.

Step3: Match line to values

Check lines:

• $f(x)$: $b=6$ (wrong)
• $g(x)$: $b=-3$, $m=2$ (matches)
• $h(x)$: $m<2$, $b=-3$ (wrong slope)

Answer:

g(x)