which graph can be used to find the solution(s) to 4x = -4x?
which graph can be used to find the solution(s) to 4x = -4x?
Answer
Explanation:
Step1: Rewrite the equation
We can rewrite the equation $4x=-4x$ as $4x + 4x=0$, which simplifies to $8x = 0$. The solution of this equation is $x = 0$. To find the solution graph - ically, we can consider the two - functions $y = 4x$ and $y=-4x$. The $x$ - value of the intersection point of the graphs of $y = 4x$ and $y=-4x$ will be the solution of the equation $4x=-4x$. The function $y = 4x$ is a straight - line with a slope of 4 and passes through the origin $(0,0)$. The function $y=-4x$ is a straight - line with a slope of - 4 and also passes through the origin $(0,0)$.
Step2: Identify the graph
The graph of $y = 4x$ and $y=-4x$ (two straight lines with slopes 4 and - 4 respectively, intersecting at the origin) can be used to find the solution of the equation $4x=-4x$.
Answer:
The graph of $y = 4x$ and $y=-4x$ (two straight lines with slopes 4 and - 4 respectively, intersecting at the origin)