Answer:
[tex]y=x[/tex]
Step-by-step explanation:
Hi there!
What we need to know:
- Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis
- y and x stay as they are while m and b are replaced with numerical values
1) Determine the slope (m)
[tex]y=mx+b[/tex]
We're given that the slope of the line is 1. Plug this into the above equation
[tex]y=1x+b\\y=x+b[/tex]
2) Determine the y-intercept (b)
[tex]y=x+b[/tex]
Plug in the given point (-7,-7)
[tex]-7=-7+b[/tex]
Add 7 to both sides to isolate b
[tex]-7+7=-7+b+7\\0=b[/tex]
Therefore, the y-intercept is 0. Plug this back into [tex]y=x+b[/tex]
[tex]y=x+0\\y=x[/tex]
I hope this helps!
