Answer: The equation in slope-intercept form: [tex]y=-5x+2[/tex]
Step-by-step explanation:
The given equation of a line : [tex]y+3= -5(x-1)[/tex]
The equation of a line in slope -intercept form: y=mx+c, where m= slope , c=y-intercept.
We first use distributive property(a(b+c)=ab+ac) to simplify the given equation, we get
[tex]y+3=-5x+5[/tex]
Subtract 3 from both sides, we get
[tex]y=-5x-2[/tex]
Hence, the equation in slope-intercept form: [tex]y=-5x+2[/tex]