Question : The graphs of the equations
$4 x+\frac{1}{3} y=\frac{8}{3}$ and $\frac{1}{2} x+\frac{3}{4} y+\frac{5}{2}=0$ intersect at a point P. The point P also lies on the graph of the equation:

Option 1: $x + 2y - 5 = 0$

Option 2: $3x - y - 7 = 0$

Option 3: $x - 3y - 12= 0$

Option 4: $4x - y + 7= 0$

Question : The slope of the line passing through the point (7, –2) and ($x$, 1) is $-\frac{3}{10}$. Find $x$.

Option 1: 4

Option 2: 2

Option 3: –4

Option 4: –3

Question : If $2x+\frac{1}{3x}$ = 5, then the value of $\frac{5x}{6x^{2}+20x+1}$ is:

Option 1: $\frac{1}{4}$

Option 2: $\frac{1}{6}$

Option 3: $\frac{1}{5}$

Option 4: $\frac{1}{7}$

Question : What is the slope of the line parallel to the line passing through the points (5, – 1) and (4, – 4)?

Option 1: $– 3$

Option 2: $\frac{–1}{3}$

Option 3: $3$

Option 4: $\frac{1}{3}$

Question :  The value of $1 \frac{3}{4}+1 \frac{5}{7} \div 2 \frac{3}{7} \times 2 \frac{3}{7}=$?

Option 1: $1 \frac{11}{28}$

Option 2: $2 \frac{13}{28}$

Option 3: $3 \frac{13}{28}$

Option 4: $4 \frac{23}{28}$