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A certain linear function can be described by the equation below

User Fausto Alonso
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25 votes
25 votes

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.

A certain linear function can be described by the equation below-example-1
A certain linear function can be described by the equation below-example-2
User Prix
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