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3 years ago

what is the equation in point-slope form of a line that passes through the points parentheses( 3, -5) and (-8, 4)

Mathematics

1 answer:

viva [34]3 years ago

8 0

slope = (y2-y1)/(x2-x1)

m = (4--5)/(-8-3)

m=(4+5)/(-8-3)

m=9/-11

point slope form

y-y1 =m(x-x1)

y--5 =-9/11 (x-3)

y+5 = -9/11(x-3)

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rosijanka [135]

Answer:

$6x -7y = 21$

Step-by-step explanation:

The $y$ -intercept of a line is the $y$ value when $x = 0$ . In the equation $y = \frac23 x -3 \\$ , we can solve for its equation when we plug in $x = 0$ .

Solving for $y$ when $x = 0$ :

$y = \frac23 x -3 \\ y = \frac23 (0) -3 \\ y = -3$ .

So the $y$ -intercept of the equation $y = \frac23 x -3 \\$ is $-3$ .

To find what equation has the same $y$ -intercept, we can do the same process for each equations given by the choices. However, I can see that the equation, $6x -7y = 21$ , has the $y$ -intercept. If in doubt, you can check for the solution below or solve each equations for yourself.

Solving for $y$ when $x = 0$ :

$6x -7y = 21 \\ 6(0) -7y = 21 \\ 0 -7y = 21 \\ -7y = 21 \\ \frac{-7y}{-7} = \frac{21}{-7} \\ y = -3$

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3 years ago

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PolarNik [594]

Answer:

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Step-by-step explanation:

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