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.