Your "target" is the slope-intercept form which you should
memorize:
You first solve the equation for y
Subtract x from both sides:
To get rid of the multiply every term by
Simplify:
Swap the terms on the right because you want it to look like y = mx+b
Compare that to
And you see that
and
"m" is the slope because it determines which way and how much the
line slants. "b" is the number on the y-axis where the line
crosses the y-axis.
Now I'm going to go further than that, because you're going to have to.
That means the graph of the equation
crosses the y-axis at (0,b) which is (0,6), called
the y-intercept. We plot that point
We take the numerator of the slope which is 1. The slope
is positive so we draw a line 1 unit up from the y-intercept, like this
in green:
Now we take the denominator of the slope which is 4. We draw
a line 4 units right from where that green line ended up, like this, also
in green:
Next we take a ruler and draw a line through both the y-intercept and the
end of that second green line, like this:
That'e the graph of
Edwin
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