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4 years ago

5

What is the slope intercept form of a line that passes through (-1,-5) and (4,-2)

1 answer:

Hatshy [7]4 years ago

3 0

$\bf (\stackrel{x_1}{-1}~,~\stackrel{y_1}{-5})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{-2}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-2}-\stackrel{y1}{(-5)}}}{\underset{run} {\underset{x_2}{4}-\underset{x_1}{(-1)}}}\implies \cfrac{-2+5}{4+1}\implies \cfrac{3}{5}$

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iris [78.8K]

Answer:

Look at the proof down

Step-by-step explanation:

The given is;

→ ∠1 and ∠2 form a linear pair

→ ∠1 ≅ ∠3

We want to prove;

→ ∠2 and ∠3 are supplementary

<em>We will write the proof in like a table</em>

1. ∠1 and ∠2 formed a linear pair ⇒ 1. Given

2. m∠1 + m∠2 = 180° ⇒ 2. Sum of angles on a straight line

3. ∠1 and ∠2 are supplementary angles ⇒ 3. Supplementary angles add up to 180°

4. ∠1 ≅ ∠3 ⇒ 4. Given

5. m∠2 + m∠3 = 180° ⇒ 5. Substitution method

6. ∠3 is a supplement of ∠2 ⇒ 6. Supplement of equal angles

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4 years ago

Overline MD cong overline LS additional information is necessary to show that triangle MTD cong triangle LGS by SSS?

aivan3 [116]

Answer:

$TD \cong GS$

Step-by-step explanation:

See comment for complete question

Given:

$TM \cong GL$

$MD \cong LS$

Required

The information that shows $\triangle MTD \cong \triangle LGS$ by SSS

By SSS implies that, the three sides of both triangles are congruent

Already, we have:

$TM \cong GL$

$MD \cong LS$

The third side of $\triangle MTD$ is $TD$

The third side of $\triangle LGS$ is $GS$

So, for both to be congruent by SSS, the third sides must be congruent

i.e.

$TD \cong GS$

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3 years ago

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Nat2105 [25]

Answer:

Step-by-step explanation:

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M = (4, 9, 16, 25, 49, 64)

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If N is the set of all non-negative even numbers that are under 30, then

N = (2, 4, 6, 8 ,10, 12, 14, 16,18,20, 22, 24, 26,28)

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3 years ago