Now let's do the same thing for the 2nd equation:
x + y = 5
Step 1: Get the first equation into the y = mx + b formy + x = 5
Step 2a: Subtract x to both sides to isolate the 'y' on the left side
y + x (-x) = 5 (-x) [the +x and -x on the left side will cancel each other out]y = 5 - x
Step 2b: re-arrange the right side so the x is first
y = -x + 5
Step 3a: This is already in "y = mx + b form"Step 3b: Just remember there is a (-1) in front of the x, so it really looks like thisy = (-1)x + 5
Step 3c: Also remember that the slope, m, will be (-1/1)
Step 3d: Because it is in the y = mx + b form,
the m = (-1/1) = slope
the b = + 5 = y-intercept
Step 4a: Since the b = + 5, make a dot at +5 on the y-axis
Step 4b: Since m = slope = (-1/1) = (rise/run) = (vertical -1/horizontal 1)
Then go down 1 right over 1 from that dot, then repeatStep 5: Finding the intersectionThe graphs should intersect at (2,3)...Meaning x = 2, y = 3
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