16.5k views
5 votes
Write a linear equation that gives the rule for this table.

Write a linear equation that gives the rule for this table.-example-1
User Mscha
by
7.8k points

1 Answer

6 votes

Answer:

y = -x -3

Explanation:

You want the linear equation that describes the table that includes points (x, y) = (-95, 92) and (-6, 3).

Slope

The slope of the line through these points is ...

m = (y2 -y1)/(x2 -x1)

m = (3 -92)/(-6 -(-95)) = -89/89 = -1

Intercept

The y-intercept can be found from ...

b = y -mx

For (x, y) = (-6, 3), this is ...

b = 3 -(-1)(-6) = -3

Equation

The slope-intercept form of the linear equation is ...

y = mx +b

y = -x -3

__

Additional comment

Adding x to the above equation puts it in standard form:

x + y = -3

<95141404393>

User Ethanenglish
by
8.3k points

No related questions found