Consider the sequence: -7, -2, 3, 8…. What is f(7)?

Mathematics

1 answer:

wlad13 [49]3 years ago

5 0

You are adding by 5 in the sequence.
If f(1) is -7
f(2) = -2
f(3)= 3
f(4)=8
f(5)=13
f(6)=18
Therefore, f(7)=23

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The point slope form of the equation of the line that passes through -5,-1 and 10,-7 is y+7= -2/5(x-10). What is the standard fo

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Given that,

The point slope form of the equation of the line that passes through (-5, -1) and (10, -7) is given by:

$y + 7 = \frac{-2}{5}(x-10)$

We have to write the standard form of the equation

The standard form of an equation is Ax + By = C

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Let us convert the given equation into standard form

$y + 7 = \frac{-2}{5}(x-10)\\\\\text{Simplify the right hand side of equation }\\\\y + 7 = \frac{-2x}{5}+\frac{20}{5}\\\\y + 7 = \frac{-2x +20}{5}\\\\5(y+7) = -2x + 20\\\\\text{Simplify the left hand side of equation }\\\\5y + 35 = -2x + 20\\\\\text{Move the variables to left side of equation and constants to right side }\\\\2x + 5y = 20 - 35\\\\2x + 5y = -15$

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