The number that best represents the slope of the graphed line that is given is: -4.
<h3>What is the Slope of a Line?</h3>The slope of a line is the ratio of the vertical distance to the horizontal distance across the line. It is calculated using the formula:
Slope (m) = rise/run = change in y / change in x = (y2 - y1)/(x2 - x1)
Given the two points on a coordinate plane as shown in the mage below, let:
(x1, y1) represent (0, 2)
(x2, y2) represent (0.5, 0)
Plug in the values
Slope (m) = change in y / change in x = (0 - 2) / (0.5 - 0)
Slope (m) = -2/0.5
Slope (m) = -4
Therefore, we can state that, the number that best represents the slope of the graphed line that is given is: -4.
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we are given
we have to solve it by completing square method
step-1: Move 5 on right side
step-2: Break middle term
step-3: Add 6^2 both sides
step-3: Solve for x
we wil get two values
First value is
add both sides 6
Second value is
add both sides 6
so, solutions are
.............Answer