We are given the information that the equation of the line is of the form:
y = a x + b
where a is a negative number and b is a positive number.
And we are asked to select among a number of options that represent the situation.
SInce b is a positive number (being "b" what is understood as the y-intercept) the line DOESN'T pass through the origing of coordinates. So the first option is discarded.
SInce "a"is a negative number (this is the so called "slope' of the line) the line must be slanted, and dropping from left to right Therefore option b is also discarded because that represents a line going up from left to right.
Option c is also discarded, because a is a negative number (not a zero) and lines parallel to the x axis have slope zero.
The last option is the correct one, since the intercept oo the y-axis is at a positive value for y, the line must be going down due to the negative slope, and therefore going across the II, I and IV quadrant as shown below: (give me a few minutes to draw a line with this characteristics)
Then, please mark the last option (d) as the correct answer.