Mastering Parallel Lines: Writing Equations Using Slope-Intercept Form

Learn how to write the equation of a line that is parallel to a given line using the slope-intercept form y = mx + b. The equation of a line is such that its highest exponent on its variable(s) is 1 (i.e., there are no exponents in its variable(s)). There are various forms in which we can write the equation of a line: the point-slope form, the slope-intercept form, the standard form, etc.

When given a point (x, y) through which a line passes and the slope (m) of the line, the equation of the line is given by y - y1 = m(x - x1). For parallel lines, the slopes are equal. Thus, given the equation of a line and a point through which the line parallel to the given line passes, the slope of the second line is equal to the slope of the given line. Having found the slope, we can then use the formula stated above together with the given point to find the required equation in the form y = mx + b.

I also show you the easy way using just y=mx+b!

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