The line equation in slope-intercept form is given by
where b is the y-intercept and m is the slope.
Then, we need to convert the given equation into the slope-intercept form. Then, by subtracting 10x to both sides, we have
and by dividing both sides by 2, we get
By comparing this result with the first equation, we can see that the slope is m= -5. So, the answer is: -5
The thirty-second term is 143
Further explanation:
As it is already given that the given sequence is an arithmetic sequence
We have to find the common difference first
So,
The common difference is 5.
And first term is -12
The explicit formula for arithmetic sequence is:
Putting the values in the formula
Putting n=32 in explicit formula
The thirty-second term is 143
Keywords: Common difference, Arithmetic Sequence
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