Final answer:
The equation of the line after reflection about the y-axis is y = 3x + 5, which represents a straight line with a positive slope and an unchanged y-intercept.
Step-by-step explanation:
To find the equation of the line after it is reflected about the y-axis, we need to understand how reflection affects the line's equation.
The original line equation is y = -3x + 5, which is a straight line with negative slope.
Reflecting this line about the y-axis effectively changes the sign of the x-coefficient since the x-values on the original line will now take on the opposite sign.
Hence, the new equation for the reflected line will have a positive slope and the same y-intercept, because the y-axis itself does not change position.
Therefore, the new equation will be y = 3x + 5, maintaining the y-intercept at 5 and reversing the slope from negative to positive.
Among the given options, the correct answer is a. y = 3x + 5, which exhibits a straight line with a positive slope and whose y-intercept remains unchanged at 5.