In the given figure, the equation of AB is
2y - 3x = 6. Find the co-ordinates of A and B.
Answers
Step-by-step explanation:
AB is 3y + 2x = 14
step by step has solved below.
Now we can write 2y = 3x + 5 as,
y = 3/2x + 5/2
this equation is like y = mx + c
here 'm' is the gradient and the intercept is c.
By looking at this equation ,y = 3/2x + 5/2
we can say 3/2 is the gradient of your given line y = 3/2x + 5/2.
Their is a theory that two straight lines are perpendicular multipication of the two gradients of them make -1.
Think two straight lines which are perpendicular and m1 and m2 are the gradients of them.
m1* m2 = -1
Thus we can get the gradient of any line which are perpendicular to the line y = 3/2x + 5/2.
We take it as ‘m’
m * 3/2 = -1
m = -2/3
Now we can make the equation of the line which go through (-2 , 6) and perpendicular to the line y = 3/2x + 5/2.
It give as follow
[y - 6]/[x - (-2)] = -2/3
3[y - 6] = -2[x - (-2)]
3[y - 6] = -2[x + 2]
3y - 18 = -2x - 4
3y + 2x - 14 = 0
3y + 2x = 14
The equation of the line AB is
3y + 2x = 14
Answer:
if x=0
2y=6
y=6/2
=3
(o, 3)
if x=1
2y=6-3
y=3/2
(1, 3/2)