Question

question 1
the equation of the line having a slope of -1 and a y-intercept of 0 will be which of the following?
y = x
y = 0
y = -x
x = 0

Explanation:

Step1: Recall the slope - intercept form of a line

The slope - intercept form of a linear equation is given by \(y = mx + b\), where \(m\) is the slope of the line and \(b\) is the \(y\) - intercept.

Step2: Substitute the given values of slope and \(y\) - intercept

We are given that the slope \(m=- 1\) and the \(y\) - intercept \(b = 0\).
Substituting \(m=-1\) and \(b = 0\) into the equation \(y=mx + b\), we get:
\(y=-1\times x+0\)
Simplifying the right - hand side of the equation, we have \(y=-x\).

Answer:

The equation of the line is \(y = -x\), so the correct option is the one with \(y=-x\) (the option labeled with \(y = -x\) among the given choices).