What is the equation in point slope form, for a line that goes through (7, -8) and (-4, 6) brainly

Mathematics

1 answer:

Anika [276]2 years ago

5 0

Answer:

The equation of the line is y - 6 = -14/11(x + 4)

Step-by-step explanation:

To find the equation of this line, we first need to find the slope. To do that, we use the slope equation.

m(slope) = (y2 - y1)/(x2 - x1)

m = (6 - -8)/(-4 - 7)

m = (6 + 8)/(-4 - 7)

m = 14/-11

m = -14/11

Now that we have the slope, we can use it and either point in point-slope form and solve for the equation.

y - y1 = m(x - x1)

y - 6 = -14/11(x + 4)

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How many feet long is the fence ?

grandymaker [24]

Answer:

50 feet long

Step-by-step explanation:

Use the Pythagorean theorem to find the value of the missing side. The pythagoreon theorem only works with right triangles such as this one.

a²+b²=c²

Where a and b are length of legs (sides) of a triangle. And c is the length of the hypotenuse. The hypotenuse is the side across from the right angle.

We know by looking at the image posted in the question, that one leg of the triangle is 14 feet. And another leg is 48 feet. (Length of picnic area) (length of campground)

14²+48²=c²

Simplify

196+2304=2500

Find square root of 2500

√(2500)=50

So 14²+48²=50²

The missing side is 50 feet long. The fence is 50 feet long.

Attached is another example.