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Monica [59]
3 years ago
12

Create a linear equation in the slope-intercept form that contains points (2,−8) and (6,−4) .

Mathematics
1 answer:
nadezda [96]3 years ago
3 0

Answer:

y = x - 10

Step-by-step explanation:

Find the slope:

-4 - (-8) ÷ 6 - 2

-4 + 8 ÷ 6 - 2

4 ÷ 4

= 1

Substitute into the slope-intercept equation:

y = mx + b

Let's use the first coordinate (2,-8) for the x and y values

m = 1

-8 = 1(2) + b

-8 = 2 + b

-2    -2

-10 = b

Write equation:

y = 1x -10 or y = x -10

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Sedbober [7]
We can set up a system of equations to solve this. 

120b + 90d = 270
60b + 110d = 265

To cancel out b, first make the b terms equal.

60b · 2 + 110d · 2 = 265 · 2
120b + 220d = 530

Now subtract the equations.

 120b +   90d =  270
-120b + 220d =  530
---------------------------
            -130d = -260

Solve for d.

-130d/-130 = -260/-130
d = 2

Now put the value of d in one of the equations. 

60b + 110d = 265
60b + 110 · 2 = 265
60b + 220 = 265
60b + 220 - 220 = 265 - 220
60b = 45
60b/60 = 45/60
b = 0.75

Each candy bar sells for $0.75

Hope this helps! :)
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How many terms are in a^2-ab+8b+b^2-1
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