Prove and use slope criteria for parallel and perpendicular lines.
Find the slope of a line parallel to a given line
Problem
Find the slope of a line parallel to \(y=4x-7\).
Big Picture
What this problem is really about
Put the equation in slope-intercept form and separate the coefficient of x from the constant term; they describe direction and vertical position, respectively. A parallel line keeps the same direction, so carry over the slope while allowing the intercept to change unless the lines coincide.
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