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3 years ago

Can you write this equation in point-slope form? y = ½x + 4?

1 answer:

4 0

Yes. This equation given:
______________________________
   " y = (½)x + 4 " ; in point-slope form; also known as: "slope-intercept form" ; is:
______________________________________
    " y = (½)x + 4 " .
______________________________________
In other words, the equation given is ALREADY written in "point-slope form" ; or, "slope-intercept form".
______________________________________
Note:   An equation that is written in "point-slope form"
             (or, "slope-intercept form"), is written in the format of:
______________________________________
" y = mx + b " ;_________________
in which:_________________
"y" is a single, "stand-alone" variable on the "left-hand side of the equation"; "m" is the coefficient of "x"; also:
"m" is the slope of the line; which is what we want to solve for;
"b" is the "y-intercept"; or more precisely, the value of "x"
(that is; the "x-coordinate") of the point at which "y = 0";
that is, the value of "x" ; or the "x-coordinate" of the point at which
the graph of the equation crosses the "x-axis".
______________________________________
Note that in our given equation, which is written in "point-slope form" (or, "slope-intercept form" — that is: " y = mx + b " ;
_______________________________________
which is: " y = (½)x + 4 " ;
_______________________________________
we have:
_______________________________________
"y" isolated as "stand-alone" variable on the "left-hand side" of the equation;

m = ½ ;
b = 4 .
_______________________________________

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Answer:

$T_7 = \frac{64}{729}$

Step-by-step explanation:

Given

$a =1$

$r = \frac{2}{3}$

Required

Determine the 7th term

The nth term of a gp is:

$T_n = a * r^{n-1$

So, we have:

$T_7 = 1 * \frac{2}{3}^{7-1$

$T_7 = 1 * \frac{2}{3}^{6$

$T_7 = 1 * \frac{2^6}{3^6}$

$T_7 = 1 * \frac{64}{729}$

$T_7 = \frac{64}{729}$

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valentinak56 [21]

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vodka [1.7K]

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krok68 [10]

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