Write the slope-intercept for of the equation of the line with that passes through the point (2,-8) and is perpendicular to 2x+3y=15

y = 3/2 x - 11

Step-by-step explanation:

Recall that a perpendicular line to the expression:

2 x + 3 y = 15

3 y = - 2 x + 15

y = - 2/3 x + 15/3

is going to have a slope equal to the opposite of the reciprocal of the original (-2/3) slope. So, the slope of the perpendicular line must be: 3/2.

We use this value in a general point-slope form of a line, where we use the point (2, -8) :

y - (-8) = 3/2 (x - 2)

y + 8 = 3/2 x - 3*2/2

y + 8 = 3/2 x - 3

y = 3/2 x - 3 - 8

y = 3/2 x - 11

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step-by-step explanation:

exa:

)

3+11

14

step-by-step explanation:

from this example, we can see that subtracting with integers is the same as adding the opposite. we can solve using a number line or by using the saying "keep, change, change" to us solve. it is important to remember that we can subtract a negative and end up with a larger number than we started with.