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

Answer:

$\displaystyle y = - \frac{1}{2} x - 3$

Step-by-step 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:

$\displaystyle m = \frac{ y_{2} - y_{1}}{ x_{2} - x_{1}}$

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

$\displaystyle m = \frac{ - 4 - ( - 3)}{ 2 - 0}$

simplify substraction:

$\displaystyle m = - \frac{ 1}{ 2 }$

now altogether substitute:

$\displaystyle y = - \frac{1}{2} x - 3$

and we are done!