undefined slope, contains (-5, 300) zero slope, passes through (0, -257) Parallel to -2x+y = 10, and contains (10, 12) Perpindicular to -3x+4y = 16, and contains (8, 10)

Paula Cameron

Paula Cameron

Answered question

2022-11-04

undefined slope, contains ( 5 , 300 )
zero slope, passes through ( 0 , 257 )
Parallel to 2 x + y = 10, and contains ( 10 , 12 )
Perpindicular to 3 x + 4 y = 16, and contains ( 8 , 10 )

Answer & Explanation

AtticaPlotowvi

AtticaPlotowvi

Beginner2022-11-05Added 18 answers

point-slope intercept form
y k = m ( x h ) + b
where (h,k) is a point on the line, m is the slope and b is the y-intercept (0,b)
1) if the slope is undefined, it is a vertical line where x = -5 for all values of y, so the line is x = -5.
2) if the slope is zero, then it is a horizontal line where y = -257 for all values of x, so the line is y = -257.
3) first change the line 2 x + y = 10 to the slope intercept by solving for y,
2 x + y = 10, add 2x to both sides
the slope of this line is 2, parallel lines have the same slope and using the point-slope form you get
y 12 = 2 ( x 10 ) + 10
4) first change the line -3x + 4y = 16 to the slope intercept by solving for y,
3 x + 4 y = 16, add 3x to both sides
4 y = 3 x + 16, divide both sides by 4
y = 3 4 x + 4
the slope of this line is 3/4, perpendicular lines have the opposite reciprocal slope, which would be 3 4 and using the point-slope form you get
y 10 = 4 3 ( x 8 ) + 4

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