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KATRIN_1 [288]
3 years ago
9

Parallel Lines A line is parallel to y = 2x - 8 and intersects the point (-4,-1). What is the equation of this parallel line?

Mathematics
1 answer:
Assoli18 [71]3 years ago
4 0

Answer:

y= 2x+7

Step-by-step explanation:

Since the line is parallel to y = 2x - 8 it has slope m= 2

The equation of the line passing through (-4,-1) is given by,

\frac{y - ( - 1)}{x - ( - 4)}  = m

\frac{y  + 1}{x + 4}  = 2

y  + 1 = 2(x + 4)

y + 1 = 2x + 8

y = 2x + 8 - 1

y = 2x + 7

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Which expression is equivalent to 10p - 35?
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5 0
3 years ago
Read 2 more answers
What is the y-value of the solution to the system of equations?
motikmotik

Answer:

{x = -3 , y=2  (Isolved for both variables be elimination)

Step-by-step explanation:

Solve the following system:

{3 x + 5 y = 1 | (equation 1)

7 x + 4 y = -13 | (equation 2)

Swap equation 1 with equation 2:

{7 x + 4 y = -13 | (equation 1)

3 x + 5 y = 1 | (equation 2)

Subtract 3/7 × (equation 1) from equation 2:

{7 x + 4 y = -13 | (equation 1)

0 x+(23 y)/7 = 46/7 | (equation 2)

Multiply equation 2 by 7/23:

{7 x + 4 y = -13 | (equation 1)

0 x+y = 2 | (equation 2)

Subtract 4 × (equation 2) from equation 1:

{7 x+0 y = -21 | (equation 1)

0 x+y = 2 | (equation 2)

Divide equation 1 by 7:

{x+0 y = -3 | (equation 1)

0 x+y = 2 | (equation 2)

Collect results:

Answer:  {x = -3 , y=2

5 0
3 years ago
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