Distribute -4 to all terms within the parenthesis
-4(x + 1) = -4x -4
y - 6 = -4x - 4
Isolate the y. Add 6 to both sides
y - 6 (+6) = -4x - 4 (+6)
y = -4x - 4 + 6
Combine like terms
y = -4x (-4 + 6)
y = -4x + 2
y = -4x + 2 is your equation.
hope this helps
Answer:
[tex]y=-4x+2[/tex]
Step-by-step explanation:
We have been given equation of a line in point slope form. We are supposed to find equation of the same line in another form.
We will convert our given equation in slope-intercept form.
[tex]y-6=-4(x+1)[/tex]
Using distributive property [tex]a(b+c)=ab+ac[/tex], we will get:
[tex]y-6=-4*x-4*1[/tex]
[tex]y-6=-4x-4[/tex]
Now, we will add 6 on both sides of our equation.
[tex]y-6+6=-4x-4+6[/tex]
[tex]y=-4x+2[/tex]
Therefore, our required equation would be [tex]y=-4x+2[/tex].
