Answer :
Answer:
B. 0
Step-by-step explanation:
The line x = -3 is vertical, thus undefined, because there is no y in the equation. The slope that is perpendicular to an undefined one is 0.
x = 3 is a vertical line.
A line perpendicular to x = 3 is a horizontal line.
A horizontal line has slope = 0.
General formula for a straight line
The general formula for a straight line is ‘y=mx+c'.
But in the equation ‘x = -3’, ‘y' isn't present meaning that the line is independent of ‘y' which is true for a line parallel to the ‘y-axis'. This case can be compared to a generic equation ‘x=a' where a is the distance of the parallel line (to y-axis') from the origin.
This line represents a parallel line to the y-axis which is 3 units left side from the origin.
Now about calculating the slope, we can use the formula ‘m = tan ϴ’
where ‘m' is the slope and ‘ϴ’ is the angle of the line with the X-axis.
Here the value of ϴ is 90° as it is parallel to the y-axis. So the line perpendicular to it will surely have ϴ=0°. Which will be parallel to the
x-axis.
Another method of explaining this can be, for ϴ=90°, m=tan(90),
so m= infinity. if the slope of the line parallel to it is ’n', the relation between the slope of two perpendicular lines is ‘[tex]m*n=-1[/tex]’. Putting the value of ‘m=infinity' we get ‘n=0’.
Now for getting n=0 the angle must be O° as tan(0°)=0 which is nothing but a line parallel to the x-axis.
Therefore, the correct answer is option B.0.
To learn more about the general formula for a straight line
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