This is a free lesson from our course in Algebra I
This lesson explains how to determine the equation of a line from a point and
an intercept. It also explains how to find the equation of a line for which both
the x-intercept and the y-intercept are given.
Generally speaking, if y-intercept = c and point (a, b), then the equation
is:
y = [{(b - c)x}/a ] + c. Note that if x-intercept = d and y-intercept = c, you can still
use the above rule. If you think about the x-intercept which is d, it basically
means the line passes through the point (d, 0). Hence, in this case, you have a line
with y-intercept = c and passing through point (d, 0). Using the rule from
above, the equation for this line is:
y = [{(0 - c)x}/d] + c , i.e.,
y = (-cx/d) + c.
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