SOLUTION: the line ax + 7 is parallel to the line y = 2x - 3. the line y = bx + 7 is perpendicular to the line y = 2x - 3. a) state the value of a and b b) calculate the perpendicular di

Question 872871: the line ax + 7 is parallel to the line y = 2x - 3. the line y = bx + 7 is perpendicular to the line y = 2x - 3.
a) state the value of a and b
b) calculate the perpendicular distance between the pair of parallel lines.
Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!



Hi

Need to sketch graphs

2x+7 Blue   a = 2

2x-3 Green  (Green and Blue //)

-.5x + 7    b = -1/2 (Perpendicular to the Above)

2x-3 = -.5x + 7,   x = 4  and y = 5,  (4,5) & (0,7) points of intersection

(0,7)

(4,5) sqrt(16 +4) = sqrt(20), perpendicular distance between the pair of parallel lines.



 

RELATED QUESTIONS

The line y = ax + 7 is parallel to the line y = 2x - 3. The line y = bx + 7 is... (answered by Alan3354)
The line y = ax + 7 is parallel to the line y = 2x - 3. The line y = bx + 7 is... (answered by ewatrrr)
the line y=2x+7 is parallel to the line y=2x-3.The line y= -0.5x+7 is perpendicular to... (answered by KMST)
Consider the line y = 2x-7.

What is the slope of a line parallel to this line?

What  (answered by jim_thompson5910)
find the slope of a line that is parallel to the line y=1/2x-7  (answered by Theo)
A straight line L is perpendicular to the line 2/3 x+5/7 y=1 State the x and y intercepts  (answered by math_helper)
What is the value of k if the line 2x - 3y  =  5 is parallel to the line 2x + (k - 3)y  =  (answered by drk)
Which line is parallel to the line... (answered by unlockmath)
what is an equation of a line perpendicular to the line... (answered by rapaljer)