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lilavasa [31]
3 years ago
8

Find the equation of a Line , in slope-intercept form of a line that passes throught the point (-5,-1)and is parallel to the lin

e
- 2x +4y =8
(In the picture : The options of answers)​

Mathematics
2 answers:
ipn [44]3 years ago
8 0

Answer: y=x/2 + 3/2

Step-by-step explanation:

tankabanditka [31]3 years ago
3 0

Answer:

A

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange - 2x + 4y = 8 into this form by adding 2x to both sides

4y = 2x + 8 ( divide all terms by 4 )

y = \frac{1}{2} x + 2 ← in slope- intercept form

with slope m = \frac{1}{2}

Parallel lines have equal slopes, thus

y = \frac{1}{2} x + c ← is the partial equation

To find c substitute (- 5, - 1) into the partial equation

- 1 = - \frac{5}{2} + c ⇒ c = - 1 + \frac{5}{2} = \frac{3}{2}

y = \frac{1}{2} x + \frac{3}{2} ← equation of parallel line

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Answer:

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