Question

How do you find the slope of $ y = 8 $ ?

Answer 1

Hint: We can find out the slope of a line from its equation. The standard equation of a line is $ y = mx + c $ where m is the slope of this line and c is the x-intercept of the line. We compare the given equation $ y = 8 $ with the standard equation and find out the slope of this straight line.

Complete step-by-step answer:
The given line is horizontal; a horizontal line is the one that goes straight from left to write parallel to the x-axis of the coordinate plane. The y-coordinate of all the points lying on this line will be the same.
Complete step by step answer:
The equation of the line given to us is $ y = 8 $ .
On comparing this equation with the standard equation $ y = mx + c $
We get –
 $ m = 0,\,c = 8 $
Thus, the slope of this line is zero, that is, this is a horizontal line, makes an angle of zero degrees with the x-axis and is thus parallel to the x-axis.
So, the correct answer is “ $ m = 0,\,c = 8 $ ”.

Note: In mathematics, both the direction and the steepness of a line is described by a number called the slope or gradient of the line. It is often denoted by the letter “m”. For a line present in a plane containing x and y axes, the ratio of the change in the y-coordinate and the corresponding change in the x-coordinate between two distinct points of the line gives us the slope of that line, that is, the slope of a line joining two points $ ({x_1},{y_1}) $ and $ ({x_2},{y_2}) $ is given by the formula $ \dfrac{{{y_2} - {y_1}}}{{{x_2} - {x_1}}} $ . We can solve the above question using this formula.