Answer:
[tex]y=-5x-6[/tex]
Step-by-step explanation:
Hi there!
In [tex]y=mx+b[/tex], m is the slope of the line and b is the y-intercept (the value of y when x is 0). y and x remain the same but m and b are replaced with numbers.
Given that the slope is -5, plug it into [tex]y=mx+b[/tex]:
[tex]y=-5x+b[/tex]
Now, to solve for b, plug in the given point (-2,4):
[tex]4=-5(-2)+b\\4=10+b[/tex]
Subtract 10 from both sides to isolate b:
[tex]4-10=10+b-10\\-6=b[/tex]
Therefore, the y-intercept of this line is -6. Plug this back into [tex]y=-5x+b[/tex] as b:
[tex]y=-5x-6[/tex]
I hope this helps!
