Verified Answer :

Slope intercept form is y = mx + b

so make the equation look like that. 

-9x + 10y = -9 ... add 9x on both sides 
10y = -9 + 9x 
10y = 9x - 9 

y = (9/10)x - (9/10)


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Answer:

Slope intercept form of the line is y = \(\frac{9}{10}x-\frac{9}{10}\)

Step-by-step explanation:

Equation of a line has been given as -9x + 10y = -9

It's a standard form of the equation and we have to convert it into slope intercept form.

Slope intercept form of the line is in the form of y = mx + c

Where m = slope of the line

c = y-intercept of the line

-9x + 10y = -9

10y = 9x - 9

y = \(\frac{1}{10}(9x-9)\)

y = \(\frac{9}{10}x-\frac{9}{10}\)

Therefore, slope intercept form of the line will be y = \(\frac{9}{10}x-\frac{9}{10}\)

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