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3 years ago

13

write the equation of the line that passes through each pair of the point and slope intercept form : (3,4)(4,6)

1 answer:

Allisa [31]3 years ago

5 0

Answer:

The equation of the line is y = 2x - 2

Step-by-step explanation:

In order to find this, we first need to find the slope. For that we use slope intercept form.

m(slope) = (y2 - y1)/(x2 - x1)

m = (6 - 4)/(4 -3)

m = 2/1

m =2

Now that we have this, we can use the slope and either point in slope-intercept form to get the equation.

y - y1 = m(x - x1)

y - 4 = 2(x - 3)

y - 4 = 2x - 6

y = 2x - 2

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3 years ago

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rusak2 [61]

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3 years ago

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andrew11 [14]

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2 years ago

2) f(x) = x² **<br> g(x)= 3x – 2<br> Find f(g(-4)

Usimov [2.4K]

Answer:

$f(g( - 4)) = 196$

Step-by-step explanation:

The functions are;

$f(x) = {x}^{2}$

and

$g(x) = 3x - 2$

We want to find

$f(g( - 4))$

First we find g(-4) to get:

$g( - 4) = 3 \times - 4 - 2$

$g( - 4) = - 12- 2$

$g( - 4) = - 14$

Now

$f(g( - 4)) = f( - 14)$

This implies that,

$f(g( - 4)) = {( - 14)}^{2}$

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$f(g( - 4)) = 196$

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3 years ago