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Give the slope and the y-intercept of the line y = x – 4.
Make sure the y-intercept is written as a coordinate.

Sagot :

Given:

The equation of a line is

[tex]y=x-4[/tex]

To find:

The slope and y-intercept of the line.

Solution:

We have,

[tex]y=x-4[/tex]          ...(i)

The slope intercept form of a line is

[tex]y=mx+b[/tex]            ...(ii)

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

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

[tex]m=1,b=-4[/tex]

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).

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