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2 years ago

A line passes through the point (0,5) and has a slope of -1/2 which is the equation of the line in slope intercept form?

Mathematics

1 answer:

Nana76 [90]2 years ago

4 0

equation of line in slope intercept form is

y = mx + c

where m is slope.

putting point (0,5) in equation

5 = m × 0 + c

c = 5

now equation is

y = mx +c

y = (-1/2)x + 5

answer is option D

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bixtya [17]

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3 years ago

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Answer:

The coordinates of point B are (6,7).

Step-by-step explanation:

Given points are

Blue = A(-4,8)

Purple = M(1,7.5)

Green = B

It is given that point M is the midpoint of point A and B.

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$Midpoint=(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2})$

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On comparing both sides we get

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2 years ago

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Norma-Jean [14]

Answer:

Base = 10 cm

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Step-by-step explanation:

The formula for the area of a triangle is $area=\frac{1}{2} *b*h$ , where <em>b</em> is the length of the base of the triangle, and <em>h</em> is the length of the height of the triangle.

We know the area is 300, and since the height of the triangle is 6 times its base, we know that $h=6*b$ . We can plug in these values into our formula for the area of a triangle, which gives us the following equation to solve:

$300=\frac{1}{2} *b*(6*b)$

$3b^2=300$

$b=\sqrt{100} =10$

The base of the triangle is 10 centimeters.

Now that we know the base of the triangle, we can plug its value in to the original formula to solve for the height of the triangle, which gives us the following equation:

$300=\frac{1}{2} *10*h$