SOLUTION: For the following equation, 6x - 2y = 10.
a. Write the SLOPE-INTERCEPT equation of a line parallel to the given line through (-8, 2)
b. Write the SLOPE-INTERCEPT equation of a li
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Question 1036878: For the following equation, 6x - 2y = 10.
a. Write the SLOPE-INTERCEPT equation of a line parallel to the given line through (-8, 2)
b. Write the SLOPE-INTERCEPT equation of a line perpendicular to the given line through
(0, -3).
I'm stuck on this problem.
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
rewrite by isolating y
-2y=-6x+10
divide by -2, everything
y=3x-5. The slope is 3
parallel lines have same slope
you want a line with slope 3 that goes through (-8,2)
point-slope formula: y-y1=m(x-x1), or y-2=3(x+8); y-2=3x+24;y=3x+26
perpendicular lines have negative reciprocal slope. Flip the slope and change the sign.
slope of 3 is 3/1; negative reciprocal is -1/3
point slope formula; y+3=-1/3(x), y=(-1/3)x-3
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