Question

How do you find the equation for the line that is parallel to the line y=2/3x-7 and passes through the point (3,-1)

Answer 1

parallel lines have the same exact slope hmmm what's the slope of y = 2/3x-7 anyway? well, low and behold, is already in slope-intercept form, therefore

`\bf \stackrel{\textit{slope-intercept form}}{y=\stackrel{slope}{\cfrac{2}{3}}x-7}`.

so we're really looking for the equation of a line whose slope is 2/3, and runs through 3, -1.

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