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Helen [10]
3 years ago
11

What is the equation in point-slope from for the line that passes through the points (-3,5) and (2,-3)?

Mathematics
1 answer:
Aleks [24]3 years ago
8 0

Answer:

y + 3 = -1\frac{3}{5}[x - 2]\:or\:y - 5 = -1\frac{3}{5}[x + 3]

Step-by-step explanation:

First, find the <em>rate of</em><em> </em><em>change</em><em> </em>[<em>slope</em>]:

\frac{-y_1 + y_2}{-x_1 + x_2} = m

\frac{-5 - 3}{3 + 2} = -\frac{8}{5} = -1\frac{3}{5}

Now input the slope into the Point-Slope Formula. In this formula, all negative symbols give the OPPOSITE terms of what they really are, so be EXTREMELY CAREFUL inserting the coordinates into the formula with their CORRECT signs:

y - y_1 = m[x - x_1]

y + 3 = -1\frac{3}{5}[x - 2]\:or\:y - 5 = -1\frac{3}{5}[x + 3]

I am joyous to assist you anytime.

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