Answer:
See explanation
Step-by-step explanation:
The given line has equation:
[tex]y=-2x + 3[/tex]
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
[tex] \frac{1}{2} [/tex]
Now look through the options and choose the equation that is of the form:
[tex]y = \frac{1}{2} x + \boxed { whatever\: \: constant } [/tex]
