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Vesnalui [34]
4 years ago
15

Graph a line that contains the point (-5,6) and has a slope of 2/3

Mathematics
1 answer:
Step2247 [10]4 years ago
5 0

Answer:

y= 2/3x + 28/3

Step-by-step explanation:

First, write your equation as y=2/3x+b. Plug in your coordinate into the equation, it should look like this: 6=2/3(-5)+b. Multiply 2/3 by -5 to get -10/3. It should look like this: 6= -10/3+b. Add 10/3 to both sides to get your y-intercept of 28/3. Go back to your original equation and plug 28/3 into b. This is your final equation: y= 2/3x + 28/3. Hope this helped!

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Alekssandra [29.7K]

we have

g(x)=(x-3)^{2}+9

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f(x)=x^{2}

This is the equation of a vertical parabola with vertex at point (0,0)

The parabola open upward------> the vertex is a minimum

so

the rule of the translation is

f(x)------> g(x)

(x,y)-----> (x+3,y+9)

that means

the translation is 3 units to the right and 9 units up

the graph of the function g(x) is the translated graphic of the function f(x) 3 units to the right and 9 units up

therefore

<u>the answer is</u>

g(x) is shifted 3 units right and  9  units up

8 0
3 years ago
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Answer:

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Step-by-step explanation:

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