Question

A line has a slope of a and has a y-intercept of (0,b). Which equation represents this line?

A. y-b=a(x-0)
B. y+b=a(x-0)
C. y-0=a(x-b)
D. y-0=a(x+b)

PLEASE HELP GIVING 50 POINTS!!!

Answer 1

A

`general \: equation \: of \: line \\ y = mx + c \\ from \: the \: data \: given \\ m = a \\ c = b \\ y = ax + b \\ y - b = ax \\ y - b = a(x - 0)`

Answer 2

Explanation:

General line equation: y = mx + c, where m is the slope of the line and c is the y-intercept.

We have y = ax + b.

=> y - b = ax

=> y - b = a(x - 0).

The answer is option A.