Question

6( x + 8) -6(-3 + 1 y) = -5. solve for slope and x and y intercept please explain through showing your work, I've kind of hit a wall on this one.

Answer 1

6x+48+18-6y=-5
6x+66+5=6y
6x+71=6y
y=6/6x+71/6
y=x+71/6
which may be compared to y=mx+c where m is the slope of line
here,m=1

Answer 2

6( x + 8) -6(-3 + 1 y) = -5.
i.e. 6 x + 48 +18 - 6 y = -5.
i.e. 6 x -6y + 66 = -5.
i.e. 6 x -6y = -5-66
i.e. 6 x -6y = -71
i.e. 6 x +71 = 6y
i.e 6y = 6x+71
\[y= x+\frac{71}{6}\]
comparing it with y=mx+b
we find slope m= 1
and y-intercept b= 71/6

for x-intercept, substitute y=0 in the eq we find
\[y= x+\frac{71}{6} \rightarrow 0 = x+\frac{71}{6} \rightarrow x= -\frac{71}{6}\]
Hence slope m= 1
x-intercept = -71/6
y-intercept = 71/6

@JustinSant

Answer 3

Thanks guys, this helped a lot I just had the negative symbols switched.