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BigorU [14]
3 years ago
7

Write in slope intercept form, then convert to standard form Slope=1, y-intercept=-3​

Mathematics
1 answer:
Viktor [21]3 years ago
6 0

Slope = 1

y-intercept = -3, which can be expressed as (0,-3).

y - y_1 = m(x - x_1)

y -(-3) = 1(x - 0)

y + 3 = x

The slope-intercept form is

y = x - 3.

The standard form is Ax + By = C.

y = x - 3

3 = x - y

Done.

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Determine if (-2,6) and (4,12) are solutions to the system of equations:
kykrilka [37]

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Both (-2,6) and (4,12) are solutions to the system.

Step-by-step explanation:

In order to determine whether the two given points represent solutions to our system of equations, we must "plug" thos points into both equations and check that the equality remains valid.

Step 1: Plug (-2,6) into y=x+8

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The solution verifies the equation.

Step 2: Plug (-2,6) into 2y=x^2 + 8

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The solution verifies both equations. Therefore, (-2,6) is a solution to this system.

Now we must check if the second point is also valid.

Step 3: Plug (4,12) into y=x+8

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Step 4: Plug (4,12) into 2y=x^2 + 8

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The solution verifies both equations. Therefore, (4,12) is another solution to this system.

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