I do not agree that the line y = -2x + 3 is perpendicular to the line x + 2y = 8.
Perpendicular lines are lines that form right angles at the point of intersection. The equation of the lines that are in perpendicular with each other have slopes that are negative reciprocal with one another.
If slope of A = a/b, and B is perpendicular to A, then slope of B = -b/a.
To check if the two given equation of the line is perpendicular with each other, get their slopes and see if they're negative reciprocal of one another.
Line 1 : y = -2x + 3
m = -2
slope of perpendicular line to line 1 = 1/2
Line 2 : x + 2y = 8 ⇒ 2y = -x + 8 ⇒ y = -1/2 x + 4
m = -1/2
1/2 ≠ -1/2
Since the negative reciprocal of the slope of the first line is not equal to the slope of the second line, then they are not perpendicular with each other.
Learn more about perpendicular lines here: https://brainly.com/question/7098341
#SPJ4
