Find an equation for the linear function whose graph has its y-intercept at y = 4 and x-intercept at x = 9 f ( x ) = ?

Question

Find an equation for the linear function whose graph has its y-intercept at   y  =  4 and x-intercept at   x  =  9  f  (  x  )  =  ?

Cynthia Lester · Accepted Answer

Step 1Given x-intercept at   x  =  9. The coordinates of x intercept is (9,0)y-intercept at   y  =  4. The coordinates of y intercept is (0,4)A linear function has the form   y  =  m  x  +  c  s  l  o  p  e  (  m  )  =            △      y              △      x        =                    y        2            −              y        1                            x        2            −              x        1              =            4      −      0              0      −      9        =      4          −      9        =  −      4    9  Step 2To find c to say x-intercept into the form  y  =  m  x  +  c  0  =  −      4    9    x  9  +  c  c  =  4Step 3The equation is   y  =  m  x  +  c  y  =  −      4    9    x  +  4  y  =  −            −      4      x      +      36        9    9  y  =  −  4  x  +  36  f  (  x  )  =  −      4    9    x  +  4

Find an equation for the linear function whose graph has its y-intercept at y=4 and x-intercept at x=9.

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