What is 2x+3y=9 that passes through (-2,5). in slope interception form

y =3/2 x +8

Step-by-step explanation:

2x+3y =9

we need to find the slope

subtract 2x

3y = -2x+9

divide by 3

3/3y = -2/3x+9/3

y = -2/3 x +3

the slope is -2/3

the perpendicular slope is the negative reciprocal

- (-3/2)  = 3/2  the new slope is 3/2

point slope form of the line is

y-y1 = m(x-x1)

y-5 = 3/2(x--2)

y-5 = 3/2(x+2)

distribute

y-5=3/2 x+3

add 5 to each side

y = 3/2x +3+5

y =3/2 x +8

there is no image or shapes attacted

step-by-step explanation:

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step-by-step explanation: