Linear Graphs: แบบฝึกหัด

Which of the following points does not lie on the straight line represented by the equation \( 2x - 3y = 6 \)?

Find the gradient of the straight line passing through the points \( (2, 5) \) and \( (-1, -4) \).

Which of the following points lies on the graph of the linear equation \( 4x + 3y = 12 \)?

Which of the following points lies on the straight line represented by the equation \( y = 3x - 4 \)?

The coordinates of point \( A \) and point \( B \) are \( (2, -3) \) and \( (5, 6) \) respectively. Find the gradient of the straight line passing through \( A \) and \( B \).

The coordinates of two points on a straight line are \( (0, 4) \) and \( (2, 10) \). Find the gradient of this linear graph.

A straight line passes through the point \( (3, k) \) and has the equation \( 4x - 5y = 2 \). Find the value of \( k \).

Line \( L \) passes through the points \( A(-2, -3) \) and \( B(4, 9) \).
(a) Find the gradient of line \( L \).
(b) Determine the equation of line \( L \) in the form \( y = mx + c \).
(c) Does the point \( (1, 3) \) lie on the line \( L \)? Show your working.