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dimulka [17.4K]
2 years ago
8

Please help Person with the right answer I will mark Brainlyist

Mathematics
1 answer:
e-lub [12.9K]2 years ago
7 0

Answer:

The equation in the standard form is

y+2x=5

Step-by-step explanation:

Given the points

  • (6, -7)
  • (4, -3)

Finding the slope between (6, -7) and (4, -3)

\left(x_1,\:y_1\right)=\left(6,\:-7\right),\:\left(x_2,\:y_2\right)=\left(4,\:-3\right)

\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

m=\frac{-3-\left(-7\right)}{4-6}

m=-2

As the point-slope form is defined as

y-y_1=m\left(x-x_1\right)

substituting the values m = -2 and the point (6, -7)

y-y_1=m\left(x-x_1\right)

y-\left(-7\right)=-2\left(x-6\right)

Writing the equation in the standard form form

As we know that the equation in the standard form is

Ax+By=C

where x and y are variables and A, B and C are constants

converting the equation in standard form

y-\left(-7\right)=-2\left(x-6\right)

y+7=-2\left(x-6\right)

subtract 7 from both sides

y+7-7=-2\left(x-6\right)-7

y=-2x+5

y+2x=5

Therefore, the equation in the standard form is

y+2x=5

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