3 years ago

Find the slope given the following two points (-3, -4) and (4, -6). help me plz

Mathematics

1 answer:

sammy [17]3 years ago

3 0

-2
m=y2-y1
_____
X2-x1

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Find the area of the triangle below. Be sure to include the correct unit in your answer.

Andru [333]

Answer:

Step-by-step explanation:

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3 years ago

write an equation in slope intercept form for the line that passes through (4, -4) and is parallel to 3x+4x=2y-9

photoshop1234 [79]

Answer:

$\large\boxed{y=\dfrac{7}{2}x-18}$

Step-by-step explanation:

The slope-intercept form of an equation of a line:

$y=mx+b$

Convert the equation of a line 3x + 4x = 2y - 9 to the slope-intercept form:

$3x+4x=2y-9$

$7x=2y-9$ add 9 to both sides

$7x+9=2y$ divide both sides by 2

$\dfrac{7}{2}x+\dfrac{9}{2}=y\to y=\dfrac{7}{2}x+\dfrac{9}{2}$

Parallel lines have the same slope. Therefore we have the equation:

$y=\dfrac{7}{2}x+b$

Put the coordinates of the point (4, -4) to the equation:

$-4=\dfrac{7}{2}(4)+b$

$-4=7(2)+b$

$-4=14+b$ subtract 14 from both sides

$-18=b\to b=-18$

Finally we have the equation:

$y=\dfrac{7}{2}x-18$

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The leg of the hypotenuse of a right triangle is 13 cm. The length of one leg is 5 cm. Find the length of the other leg.

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