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Andrews [41]
3 years ago
13

Write the linear equation in slope-intercept form given the following: (-3, 7) and (6, -8)

Mathematics
1 answer:
Viefleur [7K]3 years ago
6 0

Answer:

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

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (- 3, 7) and (x₂, y₂ ) = (6, - 8)

m = \frac{-8-7}{6+3} = \frac{-15}{9} = - \frac{5}{3} , then

y = - \frac{5}{3} x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (6, - 8) , then

- 8 = - 10 + c ⇒ c = - 8 + 10 = 2

y = - \frac{5}{3} x + 2 ← equation of line

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3 years ago
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The expression 15t – 2t not equivalent to 2t – 15t because the negative sign in 15t – 2t belongs to the term 2t.

Solution:

Given expressions are 15t – 2t and 2t – 15t.

To determine 15t – 2t is equivalent to 2t – 15t or not.

Substitute t = 2 in above two expressions.

15t – 2t = 15(2) – 2(2)

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3 years ago
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If you wanted to decrease by 3%, you would SUBTRACT 100% from 3%, so:
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bija089 [108]

<em>Answer:</em>

<em>1/36</em>

<em>Step-by-step explanation:</em>

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<em>= 10/36 - 9/36</em>

<em>= 1/36</em>

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