write an equation in slope intercept form for the line that passes through the point, and is perpendicular to the line y=-1/3x+9
1 answer:
Answer:
Step-by-step explanation:
y=-1/3x+9
This is written in the format y=mx+b, where m is the slope and b the y-intercept (the value of y when x=0).
Perpendicular lines have a slope that is the negative inverse of the slope of the reference line, in this case -(1/3). The new slope is 3. equation is:
y = 3x + b
To find b, enter the given point, (-6,-2) and solve for b:
y = 3x + b
-2 = 3(-6) + b
-2 = -18 + b
b = 16
The full equation is y=3x + 18
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Answer:
is the nth term of the given sequence.
Step-by-step explanation:
The sequence given is
We can clearly see that 1st term is and 2nd term is
2nd term is obtained by multiplying the 1st term by 2.
2nd term is and 3rd term is 1.
3rd term is obtained by multiplying the 2nd term by 2.
3rd term is 1 and 4th term is 2.
4th term is obtained by multiplying the 3rd term by 2.
Clearly, the given series is a <em>Geometric Progression(GP)</em> with
First term,
Common Ratio,
We know that term for a GP is:
Putting values of <em>a</em> and <em>r</em>
Hence, is the nth term of the given sequence.