Answer:
m = 11
Step-by-step explanation:
Since the points are collinear then the slope between points are equal.
Calculate the slope m using the slope formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (5, 1) and (x₂, y₂ ) = (1, - 1)
m = =
=
Repeat with
(x₁, y₁ ) = (1, - 1) and (x₂, y₂ ) = (m, 4)
m = =
=
Cross- multiply
m - 1 = 10 ( add 1 to both sides )
m = 11
we have
Equate the expression to zero to find the roots
Group terms that contain the same variable, and move the constant to the opposite side of the equation
Factor the leading coefficient
Complete the square. Remember to balance the equation by adding the same constants to each side.
Rewrite as perfect squares
square roots both sides
the roots are
so
therefore
<u>the answer is the option</u>
