The general equation is y = mx + c.
m is the slope of the straight line.
c is the y intercept. This is readily obtained by putting x = 0 then the general equation simplifies to y = c.
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y = -3x + 7 is an equation which gives us a line parallel to the line y = -3x + 1, or the line -3x - 1. The equation given represents the slope-intercept form of the equation for a line. Slope-intercept takes the form y = mx + b. In this form the the value of m represents the slope of the line, while b represents the Y intercept. All lines with the same slope are parallel (unless they're exactly the same.) So to find a parallel line, we simply adjust the Y intercept to any value other than the one given.
Use the slope-intercept form of the line: y = mx + b Here, "m" is the slope, and "b" is the y-intercept, so just replace these variables with the corresponding slope and intercept - and you got your equation. And PLEASE don't ask lots of almost-identical questions, with different slopes and y-intercept. It is really easy to replace the slope and the intercept in this equation.
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