Write an equation in slope-intercept form for the line that passes through (-3, 5), and is perpendicular to the graph of 5x - 6y = 9

y=(-6/5)x+8.6

Step-by-step explanation:

If a line is perpendicular to 5x-6y=9, then it must have a slope that is the negative reciprocal.

1) Fine the slope of the first line by setting the equation equal to y.

5x-6y=9

5x-9= 6y

(5/6)x-1.5=y

slope= 5/6

2) Find the negative reciprocal of the slope

slope: 5/6

reciprocal: 6/5

negative reciprocal: -6/5

3) We now get to use the points (-3, 5) by plugging them into slope-intercept form. The goal is finding the y-intercept.

y=mx+b

5=(-6/5)(-3)+b

5=(-18/5)+b

5= -3.6+b

b= 8.6

4) Now we put everything back in slope-intercept form.

y=(-6/5)x+8.6

really really sorry if i'm

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    + 5x   + 5x

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8         8

- 4= x

multiplication is multiplication.   it might feel harder depending on what level of math you are in, but generally it will be the same old stuff, while implementing some new concepts and methods of solving work.