Question : At what point does the line $2x–3y = 6$ cuts the Y-axis?

Option 1: (0, 2)

Option 2: (–2, 0)

Option 3: (2, 0)

Option 4: (0, –2)

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 : What is the equation of the line whose y-intercept is $-\frac{3}{4}$ and making an angle of $45^{\circ}$ with the positive x-axis?

Option 1: $4x–4y=3$

Option 2: $4x-4y=–3$

Option 3: $3x–3y=4$

Option 4: $3x–3y=–4$

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: $4x - y + 7= 0$