Question 805791: Write an equation of the line whose x-intercept is 5 and y-intercept is -3.
Found 3 solutions by oscargut, mananth, KMST:
Answer by oscargut(2103)   (Show Source):
Answer by mananth(16946)  (Show Source):
Answer by KMST(5328)  (Show Source):
You can put this solution on YOUR website!  is the fastest answer.
You could call that the intercepts form of the equation for the line.
If a line passes through points (a, 0) and (0, b), its x- and y-intercepts,
then  is an equation that represents the line.
You may have been taught such a form, with that name or another name
Since some people do not like denominators, I could multiply both sides of the equal sign times 15 to get
Multiplying times other factors you can get a variety of answers.
You can also solve for y to get the unique equation in slope intercept form
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If you had not been shown the fact that
"if a line passes through points (a, 0) and (0, b), its x- and y-intercepts,
is an equation that represents the line,"
then you could easily write a system of equations by plugging in the coordinates of those intercepts into  .
Solving the system would get you  and  , and then you could write the equation in the form.
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