What is the equation of the line that "creates an intercept of $-8$ from the $x$-axis and makes an angle of $45^\circ$"? This question came in the Chittagong University admission exam 11-12

What is the equation of the line that creates an intercept of $-8$ from the $x$-axis and makes an angle of $45^\circ$?
(a) $x+y+8=0$
(b) $3x+8y=1$
(c) $x-y=8$
(d) $y=8$
(e) $x=8$

My attempt:
I interpreted creates "an intercept of -8 from the x-axis and makes an angle of 45" meaning that the x-intercept is -8 and the slope is $\tan(45^{\circ})$.  According to this interpretation, the equation should be $x-y=-8$. None of the options have this equation. The closest one is (c), and the third-party question bank says that the correct answer is (c). Isn't (c) wrong?
 A: Let the line equation be $y=kx+b$
Slope is $k=\tan(\pi/4)=1$
$$\Rightarrow y=x+b$$
Intercept on x-axis is $-8$ means it passes the point $A(-8,0)$, plug into the equation,
$$0=-8+b\Rightarrow b=8$$
Solution is $y=x+8$
----Alternative Candidate----
Maybe it takes the angle to be $135$ degree. (But usually we don't say it in this way.)
Slope is $k=\tan(3\pi/4)=-1$
$$\Rightarrow y=-x+b$$
Intercept on x-axis is $-8$ means it passes the point $A(-8,0)$, plug into the equation,
$$0=8+b\Rightarrow b=-8$$
Solution is $y=x-8$
A: There are two ways to make a $45$ degree angle with the $x$-axis.  The other way is to have slope $-\tan 45^\circ.$  So option a works just fine.
Also, you get the $x$-intercept when $y=0$, so c can't be the correct answer.
A: Disclaimer: I shall attempt this question in the most technically reasonable way, which may differ from the setter's intention.


What is the equation of the line that creates an intercept of $-8$ from the $x$-axis


This means some intercept of the line is displaced from the $x$-axis by $-8$ units, which means that the line has $y$-intercept $-8.$
(But who writes this way? Is this a Mathematics or English-language test?)


and makes an angle of $45^\circ$?


Going with the usual convention that the reference line is the positive $x$-axis and angles are measured anticlockwise, this means that the line's gradient is $\tan 45^\circ.$
Hence, the correct answer is indeed (c) $$x-y=8.$$
A: It is a case of strange language.
Normally, we talk of intercepts with an axis, here it says intercept of $-8$ from the X-axis. This can only mean that $y=-8$ when $x=0$,
and taking the normal anticlockwise meaning of $45^\circ$,
we get $y = x -8 \; \Rightarrow\; x-y = 8\;$ ie alternative $(c)$
A: The answer is (c), because the question says that the intercept is $-8$ from the x-axis, or that the y-intercept is $-8$. Since the x-axis is $y=0$, this means the intercept with the y-axis is $y=-8$. So, since the tangent of $\pi/4$ is $1$, the slope is $1$. We get:$$y=x-8$$Or,$$x-y=8$$
