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muminat
2 years ago
8

Complete the equation of the line through ( 2 , 1 ) (2,1)left parenthesis, 2, comma, 1, right parenthesis and ( 5 8 ) (5,−8)left

parenthesis, 5, comma, minus, 8, right parenthesis. Use exact numbers.
Mathematics
1 answer:
Assoli18 [71]2 years ago
3 0

Answer:

y = -3m + 7

Step-by-step explanation:

Given the two point:

  • A (2, 1)
  • B (5, -8)

We use Slope-Intercept Form to create the equation of the line that goes through the two points above

y =mx + b where m is the slope and b is the y-intercept

Step 1: find the slope of it

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

<=> m = \frac{-8-1}{5-2} = \frac{-9}{3} = -3

=> our equation: y = -3x + b (1)

Now, plug one of the points (either one!) together with m into (1), we have:

1 = -3*2+ b

<=> b = 7

Hence, the equation is: y = -3m + 7

Hope it will find you well.

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Oksanka [162]
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