Math  /  Algebra

Question Rewrite y=14x+3y=\frac{1}{4}x+3 to solve for xx. What feature of the line can be found using the rearranged equation x=4y121x=\frac{4y-12}{1}?

Studdy Solution
The feature of the line that can easily be found using the rearranged equation is the slope. The coefficient of yy in the equation x=4y12x = 4y - 12 is 4, which represents the reciprocal of the slope of the original line.
The slope of the original line is 14\frac{1}{4}, and since we have solved for xx, the slope of the line when graphed with xx on the vertical axis and yy on the horizontal axis would be the reciprocal of 14\frac{1}{4}, which is 4.

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