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3 years ago

The graph of a line passes through the points (0,-2) and (6,0). What is the equation of the line?

Mathematics

1 answer:

Dima020 [189]3 years ago

6 0

Answer:

y=1/3x-2

Step-by-step explanation:

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

m=(0-(-2))/(6-0)

m=(0+2)/6

m=2/6

simplify

m=1/3

y-y1=m(x-x1)

y-(-2)=1/3(x-0)

y+2=1/3(x)

y+2=1/3x

y=1/3x-2

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3 years ago

If two lines are parallel to each other. Does that mean they are equal to each other as well?

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Step-by-step explanation:

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Given: Angle 2 is 65 degrees. What is the angle measurement of Angle 4. Explain the angle relationship used and show your work.

lesya [120]

Answer:

$\angle 4 = 115^{\circ}$

$\angle 3 = 65^{\circ}$

$\angle 7 = 65^{\circ}$

Step-by-step explanation:

Given

$\angle 2 = 65^{\circ}$

See attachment

Solving (a): $\angle 4$

To solve for $\angle 4$ , we make use of:

$\angle 2 +\angle 4 = 180^{\circ}$

The relationship between both angles is that they are complementary angles

Make $\angle 4$ the subject

$\angle 4 = 180^{\circ} - \angle 2$

Substitute $65^{\circ}$ for $\angle 2$

$\angle 4 = 180^{\circ} - 65^{\circ}$

$\angle 4 = 115^{\circ}$

Solving (b): $\angle 3$

To solve for $\angle 3$ , we make use of:

$\angle 3 =\angle 2$

The relationship between both angles is that they are complementary angles

$\angle 3 = 65^{\circ}$

Solving (c): $\angle 7$

To solve for $\angle 7$ , we make use of:

$\angle 7 = \angle 3$

The relationship between both angles is that they are alternate exterior angles.

So:

$\angle 7 = 65^{\circ}$

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3 years ago