Question

Select the equation that represents a lone in which intercepts the vertical axis at b. assume m≠0, b ≠ 0, and m≠b.

A. y = mx
B. y = X
C. y = mx+b
D. y = m

Answer 1

Option 'C' is correct.

Explanation:

We know that the slope-intercept form of the line equation

`y = mx+b`

where

• m is the slope

• b is the y-intercept

We are given that an equation that represents a line in which intercepts the vertical axis at b, assuming m≠0, b ≠ 0, and m≠b.

As the line intercepts the vertical (y-axis) at b.

Therefore, 'b' is the y-intercept of the line.

Also, the slope is m.

Thus, according to the slope-intercept form of the line equation, the equation is:

y = mx+b

Therefore, option 'C' is correct.