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In-s [12.5K]
4 years ago
9

Determine the standard form of the equation of the line that passes through (-7, 8) and (0, 2)

Mathematics
1 answer:
Fiesta28 [93]4 years ago
7 0

Answer:

The answer is

<h2>y =  -  \frac{6}{7} x + 2</h2>

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

To find the equation we must first find the slope

Slope of the points (-7, 8) and (0, 2) is

<h3>m =  \frac{2 - 8}{0 + 7}  =  -  \frac{6}{7}</h3>

After that use the formula

y - y1 = m(x - x1)

To find the equation of the line

Equation of the line using point (0,2) and slope - 6/7 is

<h3>y - 2 =   - \frac{6 }{7} (x - 0)</h3><h3>y - 2 =   - \frac{6}{7} x</h3>

We have the final answer as

<h3>y =  -  \frac{ 6}{7} x + 2</h3>

Hope this helps you

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