Question

Slopes of parallel & perpendicular lines: What is the slope of a line perpendicular to the line whose equation is x + 2y = 2 ?Fully reduce your answer

Answer 1

2

Step-by-step explanation

We have the equation:

x + 2y = 2

To find the slope of the line perpendicular to the line given, we have to first write the equation in slope intercept form.

That is in the form:

y = mx + c

where m = slope

c = intercept

=> 2y = 2 - x

y = (-1/2)x + 1

The slope of this line is -1/2.

Now, to find the slope of the line perpendicular to it, we have to find the negative inverse of the slope.

That is:

`\begin{gathered} m\text{ = -}(1)/(-(1)/(2))\text{ = -1 }\cdot\text{ (-2)} \\ m\text{ = 2} \end{gathered}`

That is the slope of the line perpendicular to the line given.