Question #703

Write an equation for each line.
1.) through (-2,1) and parallel to y = -3x+1
2.) through (-3,-1) and parallel to y = -2/5x-4
3.) through (-2,1) and horizontal
4.) through (-2,1) and vertical

Expert's answer

in the form y= mx+b, the slopes of parallel lines are equal to each other

1. y=-3x+b, It passes through the point (-2,1): 1=-3*(-2)+ b; b=-5.

thus the equation would be:

y= -3x - 5;

2. y=-2/5x+b, through (-3,-1): -1 = -2/5*(-3)+b ; b=-11/5.

y=-2/5x-11/5

1. y=-3x+b, It passes through the point (-2,1): 1=-3*(-2)+ b; b=-5.

thus the equation would be:

y= -3x - 5;

2. y=-2/5x+b, through (-3,-1): -1 = -2/5*(-3)+b ; b=-11/5.

y=-2/5x-11/5

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