Graph y-7 equals 9(x plus 6)

So 9x plus 54
54 plus 7 is 61
So y equals 9x plus 61. is it correct?

Yes! That's what I get, too.

now that you have y = 9x + 61 , your question was to graph it.

so you need any two points.
One obvious point is the y-intercept or (0,61) but that's hard to plot.

So using some number sense, we pick negative x's to bring the y down to a reasonable value
say x = -7, then y = -2
or let x = -8, then y = -11
one more try,
let x = -6, then y = 7

so now you have 3 points, (-7,-2), (-8,-11), and (-6,7)

plot any two points, join them and use the third point as a check-point.

To confirm whether your equation y-7 = 9(x+6) simplifies to y = 9x + 61 as you have mentioned, let's go through the steps together.

Starting with y - 7 = 9(x + 6), we will simplify it by distributing the 9 across (x + 6):

y - 7 = 9x + 54

Next, we isolate the y term. To do this, we add 7 to both sides of the equation:

y - 7 + 7 = 9x + 54 + 7

Simplifying further:

y = 9x + 61

So, y = 9x + 61 is indeed the correct simplification of the given equation y - 7 = 9(x + 6).