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3 years ago

12

What equation represents the slope - intercept form of the line below? y- intercept= (0,-5) slope= 3

2 answers:

belka [17]3 years ago

5 0

Slope =gradient=m
Y intercept =c
Y=mx+c
Y=3x-5
Hope this helps

Vesnalui [34]3 years ago

3 0

Answer:

$y-3x=-5$ is the required equation.

Step-by-step explanation:

We have been given as point and slope of the equation we eed to find the equation

By using point slope form which is:

$y-y_1=m(x-x_1)$

Where m is the slope

By substituting the values in the formula we will get:

$y-(-5)=3(x-0)$

$y+5=3x$

$y-3x=-5$ is the required equation.

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1. Tyler has $36, then

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2. Tyler can carry up to 20 pounds of food in his backpack, then

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You get the following system of inequalities:

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Now substitute the coordinates of each point:

<u>(1,12):</u>

$\left\{\begin{array}{l}1+3\cdot 12=37> 36\\ 1+1.5\cdot 12=19\le 20\end{array}\right.$

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<u>(2,10):</u>

$\left\{\begin{array}{l}2+3\cdot 10=32\le 36\\ 2+1.5\cdot 10=17\le 20\end{array}\right.$

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<u>(4,5):</u>

$\left\{\begin{array}{l}4+3\cdot 5=19\le 36\\ 4+1.5\cdot 5=11.5\le 20\end{array}\right.$

True, both inequalities hold.

<u>(6,10):</u>

$\left\{\begin{array}{l}6+3\cdot 10=36\le 36\\ 6+1.5\cdot 10=21> 20\end{array}\right.$

False, because secondt inequality doesn't hold.

<u>(12,8):</u>

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<u>(18,6):</u>

$\left\{\begin{array}{l}18+3\cdot 6=36\le 36\\ 18+1.5\cdot 6=27> 20\end{array}\right.$

False, because second inequality doesn't hold.

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