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Margarita [4]
2 years ago
5

Equation for (5,-4) (-3,2)

Mathematics
1 answer:
tatuchka [14]2 years ago
4 0

Answer:

y = -\frac{3}{4}x-\frac{1}{4}

Step-by-step explanation:

The equation for a linear function found from two given points is:  y = mx + b, where m = slope and b = y-intercept.  You can find slope from slope formula:

\frac{(y_{2}-y_{1})}{(x_{2}-x_{1})}

Given points (5, -4) and (-3, 2):

\frac{(2-(-4))}{(-3-5)}=\frac{6}{-8}=-\frac{3}{4}

Using the value m = -\frac{3}{4} and the point (5, -4) for x and y:

y = mx + b

-4 = 5(-3/4) + b

-4 = -15/4 + b

-4 = -3.75 + b

-1/4 = b

y = -\frac{3}{4}x-\frac{1}{4}

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3 years ago
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6 0
2 years ago
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