we have

Statements
case A) The graph is a straight line.
The statement is True
Because, this is a linear equation (see the attached figure)
case B) The line passes through the origin.
The statement is False
Because the point
is not a solution of the equation
Verify
Substitute the value of x and y in the equation

------> is not true
the point
is not a solution
therefore
The line does not pass through the origin
case C) The line passes through the point

The statement is True
Because the point
is a solution of the equation
Verify
Substitute the value of x and y in the equation

------> is true
the point
is a solution
therefore
The line passes through the point

case D) The slope of the line is

The statement is False
Because, the slope of the line is

case E) The y-intercept of the line is

The statement is False
we know that
The y-intercept is the value of y when the value of x is equal to zero
so
For

find the value of y

the y-intercept is equal to
