Answer:
[tex]y=-5x+39[/tex]
Step-by-step explanation:
Hi there!
Slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when x is 0)
1) Plug in the slope (m)
[tex]y=mx+b[/tex]
Plug in the slope -5
[tex]y=-5x+b[/tex]
2) Determine the y-intercept (b)
[tex]y=-5x+b[/tex]
Plug in the given point (7,4) and solve for b
[tex]4=-5(7)+b\\4=-35+b[/tex]
Add 35 to both sides to isolate b
[tex]4+35=-35+b+35\\39=b[/tex]
Therefore, the y-intercept is 39. Plug this back into [tex]y=-5x+b[/tex]:
[tex]y=-5x+39[/tex]
I hope this helps!
