Question

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

Answer 1

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

Answer 2

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 .