Answer:
y + 1 = - (x + 4)
Step-by-step explanation:
The equation of a line in point- slope form is
y - y₁ = m(x - x₁)
where m is the slope and (x₁, y₁) a point on the line
Calculate m using the slope formula
m =
with (x₁, y₁ ) = (- 4, - 1) and (x₂, y₂ ) = (3, - 3)
m = =
= -
and (x₁, y₁ ) = (- 4, - 1), then
y - (- 1) = - ( x - (- 4) ) , that is
y + 1 = - (x + 4) ← equation of line
ANSWER
x=11
EXPLANATION
We want to solve the equation:
Add -8 to both sides:
Square both sides of the equation to get:
Rewrite in the form ax² +bx+c=0
Factor to get,
This implies that,
Checking for extraneous solutions.
When x=6, the original equation becomes,
2+8= 6 is not true.
x=6 is an extraneous solution.
When x=11, the original equation becomes,
This is true, hence x=11 is the only solution.