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Scrat [10]
3 years ago
14

A line with a slope of 6 passes through the point (2,3) . What is it’s equation in slope-intercept form

Mathematics
2 answers:
Natasha_Volkova [10]3 years ago
8 0

point slope form

y-y1 = m(x-x1)

y-3 = 6(x-2)

distribute

y-3= 6x-12

add 3 to each side

y = 6x-9

this is in slope intercept form

Free_Kalibri [48]3 years ago
6 0

Answer:

y = 6x - 9

Step-by-step explanation:

Plug the coordinates and the <em>rate</em><em> </em><em>of change</em><em> </em>[<em>slope</em>] into the Slope-Intercept Formula:

3 = 6[2] + b

12

−9 = b

y = 6x - 9

I am joyous to assist you anytime.

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The graph of g(x) is a reflection and translation of ∛x see attachment, please help
svetoff [14.1K]
<h2>Hello!</h2>

The answer is: g(x)=-\sqrt[3]{x-1}

<h2>Why?</h2>

Let's check the roots and the shown point in the graphic (2,-1)

First,

0=-\sqrt[3]{x-1}\\\\0^{3}=(-\sqrt[3]{x-1})^{3}\\\\0=-(x-1)\\\\x=1

then,

g(0)=-\sqrt[3]{0-1}\\g(0)=-(-1)\\g(0)=1\\y=1

So,  we know that the function intercepts the axis at (1,0) and (0,1), meaning that the function match with the last given option

(g(x)=-\sqrt[3]{x-1})

Second,

Evaluating the function at (2,-1)

y=-\sqrt[3]{x-1}\\-1=-\sqrt[3]{2-1}\\-1=-\sqrt[3]{1}\\-1=-(1)\\-1=-1

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It means that the function passes through the given point.

Hence,

The equation which represents g(x) is g(x)=-\sqrt[3]{x-1}

Have a nice day!

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Step-by-step explanation:

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Hope it helps!

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Step-by-step explanation:

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