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Question 700142: write an equation in slope intercept form of the line that passes through the given point and is parallel to the graph of the given equation. (4,2) x = -3
Answer by solver91311(24713) (Show Source):
You can put this solution on YOUR website!
No can do. is a vertical line, hence any line parallel to it must also be vertical. All vertical lines have an undefined slope, so you cannot write an equation in slope-intercept form if the slope number is undefined. Also, with the exception of the line , all vertical lines are parallel to and do not intersect the -axis. This means that the -intercept does not exist or, in the singular case of , there are infinite -intercepts so the -coordinate of the -intercept would be impossible to uniquely specify in a slope-intercept form equation.
However, you can write an equation, albeit not in slope-intercept form, that represents the desired line. An equation for ANY vertical line is of the form where is the -coordinate of any point through which the line passes. Since you are given the point you have enough information to write the desired equation.
John

Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it
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