y = mx + b - it's the equation of a straight line. We need only two points to the plotting the graph of that function.
Select any two x values and calculate y values:
Look at the picture.
The solution of the system of equations is the intersection point of the line.
What is the equation, in slope-intercept form, of the perpendicular bisector of the given line segment?
A.y = −4x − 4
B.y = −4x − 6
C.y = x – 4
D.y = x – 6
Step 1
Find the slope of the given line
Let
we know that
The formula to calculate the slope between two points is equal to
substitute the values
Step 2
Find the slope of the perpendicular bisector
we know that
If two lines are perpendicular, then the product of their slopes is equal to minus one
so
In this problem
-----> slope of the given line
Find m2
substitute
Step 3
Find the equation of the perpendicular bisector
we have
point
The equation of the line into slope-intercept form is equal to
substitute the values and find the value of b
the equation of the line is
therefore
the answer is the option B
see the attached figure to better understand the problem