Question : Find the coordinates of the points where the graph $57x – 19y = 399$ cuts the coordinate axes.

Option 1: x-axis at(–7, 0) and y-axis at (0, –21)

Option 2: x-axis at(–7, 0) and y-axis at (0, 21)

Option 3: x-axis at (7, 0) and y-axis at (0, –21)

Option 4: x-axis at (7, 0) and y-axis at (0, 21)

Question : What is the equation of the line whose y-intercept is 4 and is making an angle of 45° with the positive x-axis?

Option 1: $x+y=–4$

Option 2: $x–y=4$

Option 3: $x+y=4$

Option 4: $x–y= – 4$

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 value of $\frac{(x-y)^3+(y-z)^3+(z-x)^3}{6(x-y)(y-z)(z-x)}$, where $x \neq y \neq z$, is equal to:

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

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

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

Option 4: $\frac{1}{9}$

Question : The graphs of the equations 7$x$ + 11$y$ = 3 and 8$x$ + $y$ = 15 intersect at the point P, which also lies on the graph of the equation:

Option 1: 2$x$ + $y$ = 2

Option 2: 2$x$ - $y$ = 1

Option 3: 3$x$ + 5$y$ = 1

Option 4: 3$x$ + 2$y$ = 3