What is the equation of the line perpendicular to -2x+3y=9 through (-1,-3) in standard form?

Explanation:

Anything perpendicular to Ax+By = C is of the form Bx-Ay = D

Note the swap of A and B, and how the plus sign changed to a minus sign.

In the case of -2x+3y = 9, we see that A = -2, B = 3, and C = 9.

So Bx-Ay = D updates to 3x-(-2)y = D which simplifies to 3x+2y = D

To find the value of D, plug in the given point (x,y) = (-1,-3) and simplify

3x+2y = D

D = 3x+2y

D = 3(-1) + 2(-3) ... plug in x = -1, plug in y = -3

D = -3 - 6

D = -9

Now we can say  3x+2y = D turns into  3x+2y = -9

Therefore, the line that is perpendicular to -2x+3y = 9 and it goes through (-1,-3) is 3x+2y = -9

stew reads at the fastest rate of 265 words per minute.

step-by-step explanation:

it's a given that felicia reads at 260 word per minute and on connie's graph we can see that she reads 200 words per minute. since stew's table tells us that he read 795 in 3 minutes, we can divide 795 by 3 to find out how many words he reads per minute.

795/3 = 265

stew reads 265 words per minute - he reads at the fastest rate since felecia reads at 260 words per minute and connie reads at 200 words per minute.

stew (265) > felecia (260) > connie (200)

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step-by-step explanation: