Question

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

Answer 1

Answer:

See explanation

Step-by-step 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

$\frac{1}{2}$

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

$y = \frac{1}{2} x + \boxed { whatever\: \: constant }$