Find a function rule for the line that passes through the origin (0,0) and the point (5, - 13) what is the function rule for the line?

a. y= -13/5x

b. y= -5/13x

c. y= 5x -13

d. y= -13x +5

The Function rule for line is:

Option A is correct option.

Step-by-step explanation:

Find a function rule for the line that passes through the origin (0,0) and the point (5, - 13)

The function rule is of form:

where m is slope and b is y-intercept

Finding slope:

The formula used to find slope is:

We have

Putting values and finding slope

Finding y-intercept

We will use point(0,0) to find y-intercept

So, y-intercept is 0

The Function rule for line having slope m=-13/5 and y-intercept b=0:

So, The Function rule for line is:

Option A is correct option.

a

step-by-step explanation:

you didn't post any answer choices, so its not 100% clear what your teacher is looking for

however, log(15/7) is equivalent to log(15) - log(7)

i'm using the rule log(x/y) = log(x) - log(y)