Question

hey johanna, octavius or Lj if u see this please comment or answer, this is my new account bc my other one got reported to many times for no reason and they deleted my account

Answer 1

`\displaystyle y = - (1)/(2) x - 3`

Explanation:

we are given a line

we want to figure out the equation of theline remember the slope-intercept form of linear equation:

`\displaystyle y = mx + b`

where:

• m is the slope of the equation
• b is y-intercept

from the graph we can clearly see that the line passes y-intercept at (0,-3) point therefore b is -3

to figure out m we can consider the following formula:

`\displaystyle m = ( y_(2) - y_(1))/( x_(2) - x_(1))`

from the graph we obtain:(0,-3),(2,-4)

`\displaystyle m = ( - 4 - ( - 3))/( 2 - 0)`

simplify substraction:

`\displaystyle m = - ( 1)/( 2 )`

now altogether substitute:

`\displaystyle y = - (1)/(2) x - 3`

and we are done!