The given point is (3,1) meaning x = 3 and y = 1. The x coordinate is always listed first in an ordered pair. The general format is (x,y)
We'll use m = 3, x = 3 and y = 1 to find the y intercept
y = mx+b y = m*x+b 1 = 3*3+b ... plug in m = 3, x = 3 and y = 1 1 = 9+b 1-9 = 9+b-9 ... subtract 9 from both sides -8 = b b = -8
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So we're given m = 3 as the slope and we just found that b = -8 is the y intercept
So y = mx+b updates to y = 3x-8. This is the final answer.
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Side Notes: * The slope of 3 means rise/run = 3/1 indicating each time we go up 3, we move to the right 1 * The y intercept -8 is the location on the vertical y axis numberline where the graph crosses. The point (0,-8) is on this line.
