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scZoUnD [109]
3 years ago
9

Which of the following line passes through point (-4,5) and is parallel to the line segment whose endpoints are at (-2,-3) and (

2,5)?
Mathematics
1 answer:
NNADVOKAT [17]3 years ago
8 0

For this case we have that by definition, the equation of a line of the slope-intersection form is given by:

y = mx + b

Where:

m: It's the slope

b: It is the cut-off point with the y axis

By definition, if two lines are parallel then their slopes are equal.

Then, the requested line will have a slope equal to:

m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {5 - (- 3)} {2 - (- 2)} = \frac {5 +3} {2 + 2} = \frac {8} {4} = 2

Thus, the line is of the form:

y = 2x + b

We substitute point (-4,5)and find "b":

5 = 2 (-4) + b\\5 = -8 + b\\5 + 8 = b\\b = 13

Finally, the equation is:

y = 2x + 13

Answer:

y = 2x + 13

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\huge \boxed{\mathbb{QUESTION} \downarrow}

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\large \boxed{\mathbb{ANSWER\: WITH\: EXPLANATION} \downarrow}

We can find the square root of 144 using the factorisation method. In this method, you need to factorise 144 first. Then, you'll get your answer in the form of prime factors. In this case, it's ⇨ 2 × 2 × 2 × 2 × 3 × 3.

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