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bija089 [108]
3 years ago
5

Which equation has an � −intercept of (5,0) and a � −intercept of (0, −2.5)?

Mathematics
1 answer:
mestny [16]3 years ago
7 0
So much clearer!  Thank you (seriously).

Use the point-slope form of the eq'n of a str. line.  Find the slope first:
         0-(-2.5)         2.5
m = ------------- = -------- = 1/2
           5 - 0              5

Then,    y-0 = (1/2)(x-5)

Which answer choice do you believe matches this?

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Roxanne graphed this system of equations to find the solution.
Mice21 [21]

Answer:

Option C is correct.

She is not correct as she use the wrong y intercepts when graphing the equations.

Step-by-step explanation:

Given the system of equations:

y = \frac{2}{3}x-5         .....[1]

y = -2x+3         .           .....[2]

equate these two equations we get;

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

Add 5 to both sides we get;

\frac{2}{3}x = -2x+8

Add 2x to both sides we have;

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Multiply both sides by 3 we get;

8x = 24

Divide both sides by 8 we get;

x = 3

Substitute the value of x in [2] we have;

y = -2(3)+3 = -6+3

Simplify:

y = -3

Therefore, the correct solution for this given system of equation is (3, -3)

You can see the graph of these equations below.

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