Answer:
y= 1x-5
Explanation:
This grpah shows a linear equation, for which the formula is y=mx+b. M is the slope, and b is the y-intercept, which means the point on the y-axis when x is zero.
So far= y=_x-5
Now to find the slope, you can take 2 points and use the slope formula, which is
I used the points (1,-4) and (0, -5)
(1,-4)
![x_(2) , y_(2)](https://img.qammunity.org/2022/formulas/mathematics/college/97oja84spcob32brhljoylv8hti9s86qe8.png)
(0,-5)
![x_(1) ,y_(1)](https://img.qammunity.org/2022/formulas/mathematics/college/lszqh2gwoy8dnvdv7x7597m0mf1yz47r4f.png)
Plug into formula
![(-4-(-5))/(1-0)](https://img.qammunity.org/2022/formulas/mathematics/college/lepaa1bajja4tusr9z6vq7gxe1ve27ikqh.png)
negative minus negative becomes a positive
![(-4+5)/(1)](https://img.qammunity.org/2022/formulas/mathematics/college/g9w9p868d06flj22i04hqm29xhncgd3sbg.png)
![(1)/(1)](https://img.qammunity.org/2022/formulas/history/high-school/fcpnhe59bx8vpzdfh8cjvo0f54geffhvj3.png)
The slope is 1, so the equation of the graph is
y= 1x-5