Question 634372: I need help with two questions!
1. Write the standard form of the equation of the line passing through the point (–2, –3) and perpendicular
to the line 2x - 3y = 3
2.Find the slope-intercept form of the the line passing through the point (2,–5)and parallel to the line y = - 2x +1
thanks!!!
Answer by sachi(548)   (Show Source):
You can put this solution on YOUR website! 1. Write the standard form of the equation of the line passing through the point (–2, –3) and perpendicular to the line 2x - 3y = 3
2.Find the slope-intercept form of the the line passing through the point (2,–5)and parallel to the line y = - 2x +1
ans 1:
the line is perpendicular to 2x-3y=3 or y=(2/3)x-1 with slope =2/3
so the required slope of the line=-3/2
& passes through (-2,-3)
so the eqn is [y-(-3)]/[x-(-2)]=-3/2
or 2y+6=-3x-6
or 2y=-3x-12 ans
ans 2:
the line is parallel to the line y = - 2x +1 with slope =-2
so the required slope of the line=-2
& passes through (2,-5)
so the eqn is [y-2]/[x-(-5)]=-2
or y-2=-2x-10
or y=-2x-8 ans
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