If you want to find the equation of line with a given a slope of which goes through the point (4,5), you can simply use the point-slope formula to find the equation:
---Point-Slope Formula---
where is the slope, and is the given point
So lets use the Point-Slope Formula to find the equation of the line
Plug in , , and (these values are given)
Distribute
Multiply and to get
Add 1 to both sides to isolate y
Combine like terms and to get the answer
So the equation of the line with a slope of which goes through the point (4,5) is:
which is now in y=mx = b form where the slope is m=4/5 and the y-intercept is b=1
