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loris [4]
2 years ago
15

Which equation represents a line parallel to the line shown on the graph? On a coordinate plane, a line goes through (0, 8) and

(2, 0).
y = 4 x minus 1
y = negative 4 x + three
y = one-fourth x + 5
y = negative one-fourth x minus 1
Mathematics
1 answer:
dezoksy [38]2 years ago
5 0

Answer:

  • B) y = negative 4 x + three

Step-by-step explanation:

<u>Find the slope of the line that goes through (0, 8) and (2, 0):</u>

  • m = (y₂ - y₁)/(x₂ - x₁)
  • m = (0 - 8) / (2 - 0) = -8/2 = -4

Parallel lines have equal slopes.

<u>Looking at the choices we see only one of them has the slope of  -4:</u>

  • y = -4x + 3
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Help pls look at the picture
Alika [10]

Answer:

Option A: -\frac{4}{3} is the correct answer.

Step-by-step explanation:

Given that:

Slope of the line = \frac{3}{4}

Let,

m be the slope of the line perpendicular to the line with slope \frac{3}{4}

We know that,

The product of slopes of two perpendicular lines is equals to -1.

Therefore,

\frac{3}{4}.m=-1\\

Multiplying both sides by \frac{4}{3}

\frac{4}{3}*\frac{3}{4}m=-1*\frac{4}{3}\\

m = -\frac{4}{3}

-\frac{4}{3} is the slope of the line perpendicular to the line having slope \frac{3}{4}

Hence,

Option A: -\frac{4}{3} is the correct answer.

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