Step-by-step explanation:
A vertical line has an undefined slope, and has a standard form, x = a, where the x-intercept is (a, 0).
The linear equations y = - 3x+5 and y = 5x - 3 are not vertical lines, because they both have defined slopes:
The slope of y = -3x + 5 is -3.
The slope of y = 5x - 3 is 5.
Also, neither one of the given equations pass through the point, (5, -3). To see why, substitute (5, -3) into the given equations:
y = -3x + 5
-3 = -3(5) + 5
-3 = -15 + 5
-3 = -10 (False statement. Therefore, (5, -3) is not a solution).
y = 5x - 3
-3 = 5(5) - 3
-3 = 25 - 3
-3 = 22 (False statement. Therefore, (5, -3) is not a solution).
