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coldgirl [10]
3 years ago
7

How do you find the y-intercept and the slope for number 11

Mathematics
1 answer:
Sophie [7]3 years ago
6 0
The first step is to find the slope. Use the slope formula

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

The two points are (x1,y1) = (-1,5) and (x2,y2) = (2,-1)

So,
x1 = -1
y1 = 5
and
x2 = 2
y2 = -1
will be plugged into the slope formula to get...
m = (y2-y1)/(x2-x1)
m = (-1-5)/(2-(-1))
m = (-1-5)/(2+1)
m = (-6)/(3)
m = -2

The slope is -2

Use m = -2 and one of the points to find the y intercept b. I'll use the point (x,y) = (-1,5) ---> x = -1, y = 5

y = mx+b ... slope intercept form
5 = -2*(-1)+b
5 = 2+b
5-2 = 2+b-2
3 = b
b = 3

The y intercept is 3

-----------------------------------

m = -2 is the slope
b = 3 is the y intercept

Therefore y = mx+b turns into y = -2x+3 as the equation that goes through the two points
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3 years ago
Using the binomial theorem, expand the expression (4 + y) to the power of 4
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When raised to the power of 4, the binomial (4 + y) expands to:

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Step-by-step explanation:

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2 years ago
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3 years ago
Which statement proves that quadrilateral JKLM is a kite?
horsena [70]

A kite is a flat shape with straight sides. It has two pairs of equal-length adjacent (next to each other) sides.

Main properties of an arbitrary kite:

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  • Only one diagonal is bisected by the other.
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1. Option 1 is false, because sides that are adjacent to the right angle could have different lengths or diagonals can cross not at 90°.

2. Option 2 is correct, because this option is strictly the definition of the kite.

3. Option 3 is false, because MK and LJ can be not perpendicular, and then adjacent sides will not have the same lengths.

4. Option 3 is false, because despite the perpendicularity between MK and LJ, this figure could be rhombus (with all equal sides) or square (with all equal sides and all right angles).

By the way, rhombus and square are partial cases of kite, but in general, an arbitrary kite is not rhombus and is not square.

Answer: correct choice is 2.

8 0
3 years ago
Read 2 more answers
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