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3 years ago

Identify an equation in slope-intercept form for the line parallel to y = 5x + 2 that passes through (-6,-1)

Mathematics

1 answer:

ikadub [295]3 years ago

3 0

Answer:

$y=5x+29$

Step-by-step explanation:

$y=mx+b$

Since the line is parallel, the slope, m, will be the same.

Use the point provided to find the y-intercept b:

$-1=5(-6)+b$

$-1=-30+b$

$b=29$

Now, we rewrite the equation:

$y=5x+29$

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What is the length of side AB of parallelogram ABCD? units 4g - 8 B q+4

Andrews [41]

Answer:

8 units

Step-by-step explanation:

» Concepts

Parallelogram Side Theorem states that the opposite sides of a parallelogram are congruent, meaning they have the same length.

» Application

In this case, we're asked to apply the theorem to find the value of q and then find the length of AB. Thus, we have to set up the equation 4q - 8 = q + 4.

» Solving

Step 1: Subtract q from both sides.

$4q-8-q=q+4-q$
$3q-8=4$

Step 2: Add 8 to both sides.

$3q-8+8=4+8$
$3q=12$

Step 3: Divide both sides by 3.

$3q/3 = 12/3$
$q=4$

Step 4: Plug in the value of q for side AB.

$4(4)-8$
$16-8$
$8$

Therefore, the answer is 8 units.

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Answer:

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Step-by-step explanation:

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