Question

Which of the following lines is perpendicular to y=-2x+3?

Answer 1

See explanation

Explanation:

The given line has equation:

`y=-2x + 3`

Compare to the general slope-intercept form: y=mx+c

This implies that m=-2 is the slope of the given line.

The slope of all lines perpendicular to the given line is the negative reciprocal of -2.

This implies that the slope of any line perpendicular to y=-2x+3 is

`(1)/(2)`

Now look through the options and choose the equation that is of the form:

`y = (1)/(2) x + \boxed { whatever\: \: constant }`