Question

What is the slope of \[y = - x\]?

Answer 1

Hint: In this problem, we need to find the slope of a straight line. The slope of a line calculates the steepness of a line is denoted by \[m\]. We use the slope intercept formula, \[y{\text{ }} = {\text{ }}mx{\text{ }} + {\text{ }}b\], where $m$ is the gradient or the slope and $b$ is the y-intercept. The \[x\] and \[y\]coordinates of the lines are used to calculate the slope of the lines then we have to plot a graph with respect to the given equation.

Complete step by step solution:
In the given problem,
The equation of a line is \[y = - x\]
To plot a graph with respect to the slope of \[y = - x\] as follows.

by rearranging the equation on comparing with the slope intercept formula, we get
\[y = - x + 0\]
To find the equation of a line and \[y\] intercept in the steepness of the line, we use the formula for slope-intercept form, \[y = mx + b\]
Where,
\[m\] is the slope of the line,
\[b\] is the \[y\] intercept of the line.
Compare the equations \[y = - x\] with the slope intercept formula, \[y = mx + b\],
On comparing the given equation with the slope intercept form, we can get
\[m = - 1\]
The slope is the coefficient of \[x\].
Therefore, the slope of line, \[m = - 1\].

Note:
The linear equations are the straight line of the equation that have simple variable expressions with terms without exponents on them and then to find the slope of the line by using the slope intercept formula, \[y = mx + b\]. We have to remember this concept to solve this kind of problem. The slope of a line rises over run. Then, to calculate the slope of the line in a graph by finding the change in \[y\] and the change in \[x\].