The slope of a line is given by the change in y coordinates over the change in x coordinate.
The slope of line DE will be (4 - -3)/ (7-1) = 7/6
If M1 and M2 are slopes of two perpendicular lines at a point then
M1× M2 = -1
Thus, the slope of a perpendicular to line DE will be -6/7.
Given:

To find:
The value of x.
Solution:
We have,

To find the value of x, we need to isolate x on one side.
Subtract 2b from both sides.

Divide both sides by -3. On multiplying or dividing an inequality by a negative number, we need to change the sign of inequality.


The required inequality for x is
.
Therefore, the correct option is A.
t = 3
Simple interest will be derived by multiplying the principal, the interest rate, and the term.
Interest = Principal x Rate x Term
Interest = 105
Principal = 700
Rate = 0.05
Term = ?
Based on the Simple Interest formula,
term = Interest / principal x rate
term = 105 / (700 x 0.05)
term = 105 / 35
term = 3