A series circuit contains a resistor and an inductor as shown in the figure. Determine a differential equation for the current i
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Answer: y=-13/12x-7
Step-by-step explanation:
To find the slope-intercept form, we first need to find the slope. To find the slope, you use the formula . We use the two given points to find the slope.
Now that we have our slope, we can start filling out the slope-intercept form equation.
y=mx+b
y=-13/12x+b
Since we don't know the y-intercept, we can use one of the given points and solve for b.
6=(-13/12)(-12)+b [multiply (-13/12) and -12]
6=13+b [subtract both sides by 13]
b=-7
With the y-intercept, we can complete our equation.
y=-13/12x-7