SOLUTION: Hi, I'm having some trouble with perpendicular lines, Can you help me? Find an equation of the line that satisfies the given conditions. through (-1, -13); perpendicular to the

Question 197342: Hi, I'm having some trouble with perpendicular lines, Can you help me?
Find an equation of the line that satisfies the given conditions.
through (-1, -13); perpendicular to the line passing through (2, -1) and (10, -3)
thanks!
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Step 1: Use the two given points that define the given line and the two-point form of the equation of a line to derive the equation of the given line:

Step 2: Put your equation into slope-intercept form, that is, solve for y so that it looks like:

Then use the slope, m, of the given line that you can determine by inspection of the slope-intercept form of your equation and the fact that:

to determine the slope of the desired line.

Then use this new slope value, the given point, and the point-slope form of the equation of a line to derive the desired equation:

John

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