How do you find the equation of the line with y-intercept (0,6) and slope of -5/6?

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Answer 1 · 2017-04-25T21:14:40

See the solution process below:

The slope-intercept form of a linear equation is: #y = color(red)(m)x + color(blue)(b)#

Where #color(red)(m)# is the slope and #color(blue)(b)# is the y-intercept value.

We are given the slope in the problem so we can substitute #-5/6# for #m# in the formula.

And, #(0, 6)# is the y-intercept so we can substitute #6# for #b# in the formula giving:

#y = color(red)(-5/6)x + color(blue)(6)#