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victus00 [196]
3 years ago
10

Fill in the missing work and justification for step 5 when solving 4(x + 1) - 8.

Mathematics
1 answer:
belka [17]3 years ago
8 0

Answer:

multiplication property of equality

Step-by-step explanation:

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What is the equation of the line that passes through the points (-2, 1) and (6, 3)?
earnstyle [38]

Answer:

y = \frac{1}{4} x + \frac{3}{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 ) = (- 2, 1 ) and (x₂, y₂ ) = (6, 3 )

m = \frac{3-1}{6-(-2)} = \frac{2}{6+2} = \frac{2}{8} = \frac{1}{4} , then

y = \frac{1}{4} x + c ← is the partial equation

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

using (6, 3 ) , then

3 = \frac{3}{2} + c ⇒ c = 3 - \frac{3}{2} = \frac{3}{2}

y = \frac{1}{4} x + \frac{3}{2} ← equation of line

3 0
1 year ago
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