Analytic Geometry
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The graph of a
function or an equation involving x and y is the set of points whose coordinates (x,y) satisfy the equation or
the rule of correspondence. If the function
is explicit, any line parallel to the y-axis will not intersect the graph in more than one
point. If it is implicit, the lines may intersect it in more than one point. |
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The values of x at which the curve (or the
line) intersects the x-axis are called the x-intercepts of the graph. The values of y at which the curve (or the
line) intersects the y-axis are called the y-intercepts of the graph. |
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m |
The slope of a
line equals the tangent of the angle between the line and the positive
direction of the x-axis (the angle of inclination). To determine the
slope m of the
line passing through
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Suppose we have
two lines with slopes If the two lines
are parallel, then If the two lines
are perpendicular, then |
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If we have a line
with a slope m passing through the point
To get the
equation of the line passing through
If the slope of
the line is m and its y-intercept is b, the equation of the line will be:
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