Find the equation of the line that has slope - 5/6 and which passes through (-1,-6).

The equation of the line is? Answer need to be in slope-intercept form.)

Just plug it into the formula

y - (-6) = - 5/6 (x - (-1))

y+6=-5/6 (x+1)

y=-5/6 (x) - 5/6-6

The answer is: f (x) = - 5/6 (x) - 41/6

Slope Intercept form; y=mx+b

(m=slope, b = y-intercept)

Your answer; " y = - 5/6 x - 41/6 "

They've already provided you with the slope so all you have to solve for is the y intercept (b). In order to do that you just plug in the x and y values and slope value into the standard slope intercept formula. That should look something like; - 6 = - 5/6 (-1) + b. Once you solve that you'll get - 41/6 equals b. So your final answer is y = - 5/6 x - 41/6.