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2 years ago

Write the equation for the line that passes through (3,4) and (2,-1) in slope intercept form

1 answer:

5 0

Y=mx+b
m=4-1\3-2
3\1
y=3\1x+b
(u can take any of the 2 points.am taking the first one)
4=3\1(3)+b
4=9+b
4-9=b
-5=b
answer=
y=3\1x-5

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A polygon has vertices whose coordinates are A(1, 4), B(4, -1), C(-1, -4), and D(-4, 1). Use the midpoint formula to determine w

Alenkinab [10]

Answer:

The diagonals of the polygon ABCD bisect each other

Step-by-step explanation:

The given vertices of the polygon are;

A(1, 4), B(4, -1), C(-1, -4), and D(-4, 1)

Given that the vertices of the polygon in clockwise order from the top left corner are ABCD, we have the diagonals as AC and DB

By the midpoint formula, we have;

$(x_m , \ y_m) = \left (\dfrac{x_1 + x_2}{2} , \ \dfrac{y_1 + y_2}{2} \right )$

Where;

$(x_m , \ y_m)$ = The midpoint coordinates

Therefore, the midpoint of diagonal AC = $\left (\dfrac{1 + (-1)}{2} , \ \dfrac{4 + (-4)}{2} \right ) = (0, 0)$

The midpoint of diagonal DB = $\left (\dfrac{(-4) +4}{2} , \ \dfrac{1 + (-1)}{2} \right ) = (0, 0)$

Therefore, given that the coordinates of the location of the midpoint of the diagonals AC and DB is the same, the diagonals bisect each other

Each diagonal passes through the midpoint of the other diagonal.

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3 years ago

Find 2 and 2/3 x 1 and 1/4

Alisiya [41]

Your answer should be 3.33333333333 i think??

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2 years ago

Which equations represent the line that is parallel to 3x − 4y = 7 and passes through the point (−4, −2)? Select two options. y

andriy [413]

Answer:

Step-by-step explanation:

We want a line parallel to 3x − 4y = 7. Any such line will have an equation of the same form but a different constant.

If the new line is to pass through the point (-4, -2), replace x with -4 and y with -2. We obtain:

3(-4) − 4(-2) = -12 + 8 = -4. Thus, the desired new equation is 3x − 4y = -4.

This could also be written as 3x − 4y + 4 = 0. We could also solve this for y, obtaining:

3x + 4 = 4y, or y = (3/4)x + 1.

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olga_2 [115]

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3 years ago

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kupik [55]

Answer:

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