Question

The line L has equation 3x + 4y -12 =0

The gradient of line L is: ?

The line crosses the y axis at the point P with coordinates: ?

The line crosses the x axis at the point Q with coordinates: ?

The triangle formed by the line and the x and y axes has area =
square units

For non-integer solutions, express the answer as a proper or an improper fraction using the notation a/b

Answer 1

1 -3/4

2. P(00,3)

3. Q(4,0)

4. 6

Explanation:

1. 3x+4y=12

 4y= -3x+12

 y= -(3/4)x+ 3 , so gradient = -3/4

2. Y intercept is P (0,3)

3. X intercept is Q(4,0)

4. Area = 3×4÷2=6