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Kobotan [32]
3 years ago
8

Identify an equation in point-slope form for the ine parallel to y = -2/3 x+8 that

Mathematics
1 answer:
zlopas [31]3 years ago
4 0

Answer:

y +5 = -\frac{2}{3}(x - 4)

Step-by-step explanation:

Given

y = -\frac{2}{3}x + 8

Point (4,-5)

Required

Determine the line equation

From the question, we understand that the line is parallel to y = -\frac{2}{3}x + 8

This implies that they have the same slope, m

A linear equation is:

y = mx + b

Where

m = slope

By comparison: y = mx + b and y = -\frac{2}{3}x + 8

m = -\frac{2}{3}

Next, we determine the line equation using:

y - y_1 = m(x - x_1)

Where

(x_1,y_1) = (4,-5) and m = -\frac{2}{3}

y - (-5) = -\frac{2}{3}(x - 4)

y +5 = -\frac{2}{3}(x - 4)

Hence,

<em>Option C is correct</em>

<em />

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