Find an equation of the line that satisfies the glven conditions. Through (1,-1)

Question

Find an equation of the line that satisfies the glven conditions. Through (1,-1); parallel to the line x +2y -6 Need Help?ReadIWaichaer Master It 2. -1 polnts SPreCalc? 1.10.046. Find an equation of the line that satisfies the given conditions. Through (1, 8); perpendicular to the line y 2 Need Help? Read It 3 /1 points SPreCalc7 1.10.047-MI. Find an equation of the line that satisfies the given conditions. Through (-1, -2): perpendicular to the line 2x + 7y + 3-o Need Help? LRexdWathMaster t Watch It

Explanation / Answer

1) ( 1 , -1 )

parallel to x + 2y = 6

slope of given line

2y = -x + 6

y = -1/2 x + 3

slope = -1/2

slopes of parallel lines are equal

( y +1 ) = -1/2 (x - 1)

y = -1/2 x -1/2

2) through (1,8) and perpendicular to y = 2

slope = 0

hence, perpendicular line is

x = 1

3) through (-1, -2) and perpendicular to 2x + 7y + 3 = 0

7y = -2x - 3

y = -2/7 x -3/7

slope = -2/7

slope of perpendicular line is 7/2

y + 2 = 7/2 ( x+1)

y = 7/2 x + 3/2

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