Question

Give the slope and the y-intercept of the line y = x – 4.

Answer 1

Given:

The equation of a line is

$y=x-4$

To find:

The slope and y-intercept of the line.

Solution:

We have,

$y=x-4$          ...(i)

The slope intercept form of a line is

$y=mx+b$            ...(ii)

Where, m is the slope and b is the y-intercept.

On comparing (i) and (ii), we get

$m=1,b=-4$

Slope of the line = 1

y-intercept of the line = -4

The coordinate form of y-intercept is (0,b). So, the y-intercept of the given line is (0,-4).

Therefore, the slope of the line is 1 and the y-intercept is (0,-4).