Answer:
Equation: y + 1 = -2(x - 0) OR y + 3 = -2(x - 1)
Slope: -2
Y-intercept: (0, -1)
Step-by-step explanation:
First, create an equation in point-slope form using ONE point. Using (0,-1):
y - y1 = m(x - x1)
y + 1 = m(x - 0)
Then, use both points to find slope:
[tex]\frac{y2-y1}{x2-x1} =m[/tex]
[tex]\frac{-1-(-3)}{0-1}[/tex]
[tex]\frac{2}{-1}=m=-2[/tex]
Then, plug the slope into the equation and rewrite in the form of y=mx+b:
y + 1 = (-2)(x - 0)
y + 1 = -2x
y = -2x - 1
-1 = b OR (0, -1)
Final answers:
Equation: y + 1 = -2(x - 0) OR y + 3 = -2(x - 1)
Slope: -2
Y-intercept: (0, -1)
I hope this helps!
