Question

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Answer 1

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

$y+2x=5$