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find the equation of the line passing through the points (5,4) and parallel to the line whose equation is 2x+y=3
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Well, do you know what the slope of an equation would be if it was parallel to another line?
Slopes of lines that are parallel to other lines have the same slope. So, for example, a line with an equation of y=3x+6 would be parallel to the line of y=3x+9 because they have the same slope.
So for your problem, you could deduce the equation of y=-2x+3 by moving the variables to the other side. This would allow you to get a slope of -2. you can then plug in 5 for x and 4 for y to get your y-intercept.
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