# SOLUTION: Find the linear equation that passes through the point (-8,1) and has an undefined slope. Write the equation of the line parallel to x=8 that passes through the point (-3,0)

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 Question 341309: Find the linear equation that passes through the point (-8,1) and has an undefined slope. Write the equation of the line parallel to x=8 that passes through the point (-3,0). Find the slope of the line passing through the points (-4,2) and (1,-5).Answer by texttutoring(324)   (Show Source): You can put this solution on YOUR website!Undefined slope means that the slope is dividing by zero. So there is no 'run'. It is a straight up and down, vertical line. If it passes through (-8,1) then the line must be x = -8. A line parallel to x = 8 would also have an undefined slope, meaning it is a vertical line. If it passes through the point (-3,0) then it must be x=-3. It's a vertical line at x=-3. Lastly, if a line passes through (-4,2) and (1,-5). First find the slope: m = (y2-y1) / (x2-x1) m = (-5 - 2) / (1 - -4) m = -7 / (1+4) m = -7 / 5 Now put this value for m into y=mx+b, and use either point, (-4,2) or (1,-5) to solve for b: y=mx+b -5 =(-7/5)(1) + b -5 + 7/5 = b b = -18/5 The equation of the line is thus y = (-7/5)x -18/5 Hope this helps! Let me know if you're confused by anything I wrote.