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# The number of a certain company's video stores can be approximated by the linear equation y= -264x+4682, where x is the number of years after 1990. Find the missing coordinate for the ordered pair solution (7,?) -What's the y-interpret and x-interpret?

Accepted Solution

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Answer:Missing co-ordinate for the ordered pair is $$(7,2834)$$Y-intercept is $$(0,4682)$$X-intercept is $$(17.73,0)$$Step-by-step explanation:The number of a certain company's video stores can be approximated by the linear equation $$y= -264\ x+4682$$where $$y$$ is the number of stores and $$x$$ represents the number of years after 1990.To find the missing co-ordinate for the ordered pair solution $$(7,?)$$For the ordered pair, we are given the $$x$$ value which is =7 i.e 7 years after 1990. Thus we will plugin $$x=7$$ in the linear equation to get the $$y$$ value which is number of stores after 7 years from 1990.$$y= -264\ (7)+4682$$$$y= -1848+4682$$$$y= 2834$$Thus the ordered pair is $$(7,2834)$$To find y-intercept which is the point where the line touches the y-axis, we would plugin $$x=0$$ in the equation as the x-coordinate is 0 at y-axis.$$y= -264\ (0)+4682$$$$y= 0+4682$$$$y=4682$$Thus y-intercept is at point $$(0,4682)$$To find x-intercept which is the point where the line touches the x-axis, we would plugin $$y=0$$ in the equation as the y-coordinate is 0 at x-axis and thus for $$x$$$$0= -264\ x+4682$$Subtracting both sides by 4682.$$0-4682= -264\ x+4682-4682$$$$-4682= -264\ x$$Dividing both sides by -264$$\frac{-4682}{-264}= \frac{-264\ x}{-264}$$$$17.73= x$$β΄ $$x=17.73$$Thus x-intercept is at point $$(17.73,0)$$