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4 years ago

What is the equation in point-slope form of the line that passes through the point (−1, −3) and has a slope of 4?

1 answer:

5 0

The equation of line in point-slope form of the line that passes through the point (−1, −3) and has a slope of 4 is:

y+3=4(x+1)

Step-by-step explanation:

Given

m=4

and

Point = (x1,y1) = (-1,-3)

The general form of point-slope equation of line is:

$y-y_1=m(x-x_1)\\Putting the values of m, x_1 and y_1\\y-(-3)=4(x-(-1))\\y+3=4(x+1)$

Hence,

The equation of line in point-slope form of the line that passes through the point (−1, −3) and has a slope of 4 is:

y+3=4(x+1)

Keywords: Point-slope form, Slope

Learn more about equation of line at:

#LearnwithBrainly

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3 years ago

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Answer:

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3 years ago

The sum of three consecutive even numbers is 114. what is the smallest of the three numbers?

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Answer:

Step-by-step explanation:

Let's let n be any number.

If we multiply n by 2, we get 2n. Since anything multiplied by 2 is even, 2n <em>must</em> be even. Therefore, let 2n be our first number.

So, the consecutive even number will be (2n+2) followed by (2n+4).

We know that their sum must be 114. Therefore, we can write the following equation:

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Solve for n. Combine like terms on the left:

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Subtract 6 from both sides:

$6n=108$

Finally, divide both sides by 6. Therefore, the value of n is:

$n=108/6=18$

Therefore, our first even number is 2n or 2(18) which equates to 36.

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<h2> $\large\mathfrak{{\pmb{\underline{\red{Given}}{\red{:}}}}}$ </h2>

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<h2> $\large\mathfrak{{\pmb{\underline{\color{red}{To~find}}{\color{red}{:}}}}}$ </h2>

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