29.4k views
0 votes
Help me i dont know how to do this

Help me i dont know how to do this-example-1
User Kortschak
by
7.3k points

1 Answer

7 votes

Answer:

y = x - 13

Explanation:

Write the equation of the function represented in the table.

The equation should be written in slope-intercept form: y = mx + b where

  • m = slope
  • b = y-intercept

Step 1. Find the y-intercept

The y-intercept is when x = 0 so by looking at the table, when x = 0, y = -13 meaning our y-intercept is -13

Step 2. Find the slope

The slope can be found using the slope formula:
(y_2-y_1)/(x_2-x_1) where


  • x_1,y_1 are the coordinates of the first point

  • x_2,y_2 are the coordinates of the second point

(You can use any point that you'd like)

I will use (4, -9) and (0, -13)


m=(-13-(-9))/(0-4)


m=(-4)/(-4)


m=1

The slope is 1

Step 3. Write the equation in slope-intercept form

y = x - 13