Speed at 5 Seconds on Linear Plot with Slope 5.0 m/s2

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The discussion revolves around a linear plot of speed versus time with a slope of 5.0 m/s² and a vertical intercept of 5.0 m/s. The change in speed between 4.0 seconds and 6.0 seconds is confirmed to be 10 m/s. There is confusion regarding the speed at 5.0 seconds, with one participant expecting it to be 25 m/s due to an initial speed of 0. The vertical intercept of 5.0 m/s indicates that the speed starts at this value when time is 0 seconds. Clarification is sought on how the vertical intercept affects the calculation of speed at different time intervals.
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A linear plot of speed versus elapsed time has a slope of 5.0 m/s2 and a vertical intercept of 5.0 m/s.
(a) What is the change in speed in the time interval between 4.0 seconds and 6.0 seconds?
The answer is 10, which completely makes sense to me.
But...

(b) What is the speed when the elapsed time is equal to 5.0 seconds?
5.0 m/s2 after 5 seconds, i thought the speed would be 25 (speed starts at 0)? I'm not sure where the vertical intercept comes in.
 
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