Respuesta :
A slope is also known as the gradient of a line. The two lines are perpendicular lines. Thus, the correct option is B.
What is Slope?
A slope also known as the gradient of a line is a number that helps to know both the direction and the steepness of the line.
If the two of the given equations are written in the slope intercept form then,
-2y = -x + 1
y = (x/2) - (1/2)
Therefore, the slope of the first equation is 1/2.
-y=2x− 4
y = -2x + 4
Therefore, the slope of the second equation is -2.
Since, for two lines to be parallel the slope of the equation must be equal, while for the lines to be perpendicular the product of their slope must be equal to -1.
slope 1 × slope 2
= 1/2 × -2
= -1
Hence, the two lines are perpendicular lines. Thus, the correct option is B.
Learn more about Slope of Line:
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