SOLUTION: Consider the line is y=3x-6 Consider the line . Find the equation of the line that is parallel to this line and passes through the point .(2,-2) Find the equation of the

Question 270435: Consider the line is y=3x-6
Consider the line .

Find the equation of the line that is parallel to this line and passes through the point .(2,-2)
Find the equation of the line that is perpendicular to this line and passes through the point .(2,-2)

Answer by Greenfinch(383) (Show Source): You can put this solution on YOUR website!
The line has a gradient of 3 and a y-intercept of -6
The || line is also gradient 3. To go through (2,-2) substitute 2 and -2 for x and y so -2 = 2 + c, so c = -4
Equation is then y = 3x - 4
The perpendicular gradient is -1/3 since the two gradients multiply to -1.
So the equation is y = c - 1/3x or 3y + x = c
To determine c, substitute the values 2 and -2
-2 = 2/3 + c so c = - 2 2/3

RELATED QUESTIONS
Consider the line y=2/3x-1 Find the equation of the line that is parallel to this line (answered by josgarithmetic)

Consider the line y = 3x - 7 Find the equation of the line that is perpendicular to (answered by Tatiana_Stebko)

consider the line y=5/6x-4 Find the equation of the line that is perpendicular to this... (answered by ewatrrr)

Consider the line y=7x-6 Find the equation of the line that is parallel to this line... (answered by math-vortex)

Consider the line y = -5x + 4. (a) Find the equation of the line that is parallel to... (answered by josgarithmetic)

Consider the line y = -3/-2 x +6. Find the equation of the line that is perpendicular to (answered by josgarithmetic)

consider the line Y=-3/5x-5, find the equation of the line that is perpendicular to this... (answered by josgarithmetic)

i cant find the solution can someone help me how to do this step by step consider the... (answered by richwmiller,stanbon,rothauserc)

Consider the line y= -7x+8. Find the equation of the line that is parallel to this... (answered by checkley71)