What is the equation of the line with 5 and -3 as x- and y-intercept, respectively?

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Lisbonaid · Accepted Answer

y  =  m  x  +  cwhere   m is the gradient of the line and   c is the   y-intercept of the line.We are given that the   y-intercept is   −  3 so we now know that our line has the equation  y  =  m  x  −  3There are then   2 ways of finding the gradient of our line. The first is to substitute in known values of   x and   y and then solve the resulting equation. We could pick the point   (  5  ,  0  ), which is the   x-intercept. This would give us                    y                            =        m        x        −        3                            0                            =        m        ×        5        −        3                            3                            =        5        m                            m                            =                  3          5                    meaning that our final equation is, as you have found,  y  =      3    5    x  −  3We can also calculate the gradient from two points, using the equation  m  =                    y        2            −              y        1                            x        2            −              x        1            Our two points are   (      x    1    ,      y    1    )  =  (  5  ,  0  ) and   (      x    2    ,      y    2    )  =  (  0  ,  −  3  )Putting this into the equation gives us                    m                            =                              −            3            −            0                                0            −            5                                                            =                              −            3                                −            5                                                            =                  3          5                    which also results in the equation  y  =      3    5    x  −  3

Jayla Christensen · Accepted Answer

There exists a general formula: if the   x and   y-intercepts are   a  ≠  0 and   b  ≠  0 respectively, the line has equation      x    a    +      y    b    =  1.Apply it and rewrite it in the form     y  =  …

What is the equation of the line with 5 and

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