Make a little dot on the y-axis at the point y=3.
Draw a line through that point that slopes down to the right, dropping down 4 units
for each unit it progresses to the right, or rising 4 units for each unit it progresses
to the left.
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The graph of [ y = 4x + 2 ] is a straight line with a slope of 4.Any line with a slope of 4 is parallel to that one, and any line parallel to that one has a slope of 4.
-4x=7y-28 -4x+28=7y -4x/7+4=y A line with a y-int of 4 and a slope of -4/7
4x
The equation of such a line is [ Y = -4x plus any number].
-- The slope of the graph of [ 4x + y = 2 ] is -4.-- The slopes of perpendicular lines are negative reciprocals.-- The slope of any line perpendicular to [ 4x + y = 2 ] is 1/4 .