Answer:
-( 4 / 3 )
negative four-thirds...
Step-by-step explanation:
Please give the points from left to right in ascending x order like (3, 1) and (7, 4) because it helps with calculations.
For line p:
Find the slope...
y = mx + c;
m = change in y / change in x
m = ( 1 - 4 ) / ( 3 - 7 );
m = - 3 / - 4;
m = 3 / 4;
y = ( 3 / 4 )x + c;
We know the values of y, so we can substitute a point into the equation.
1 = ( 3 / 4 )( 3 ) + c;
c = 1 - ( 3 / 4 )( 3 );
c = 1 - ( 9 / 4 );
c = - ( 5 / 4 );
y = ( 3 / 4 )x - ( 5 / 4 );
Perpendicular lines:
Perpendicular lines are the multiplicative and additive inverse of the original line. The intercept does not matter when it comes to perpendicular lines.
y = -( 1 / m )x;
y = -( 1 / ( 3 / 4 ) )x;
y = -( 4 / 3 )x;