The value of x in the given equation [tex]-3(-x) -6 = -3x+ 10[/tex] is 2.66
What is a line graph?
A line graph is a type of chart used to show information that changes over time. We plot line graphs using several points connected by straight lines. We also call it a line chart. The line graph comprises of two axes known as 'x' axis and 'y' axis. The horizontal axis is known as the x-axis.
According to the given question.
We have a equation
[tex]-3(-x)-6 = -3x +10[/tex]
To draw a graph for the above equation we have to simplify the given equation.
Therefore,
[tex]-3(-x) -6 = -3x + 10[/tex]
⇒ [tex]+3x-6 = -3x + 10[/tex]
⇒[tex]3x+3x = 10 + 6[/tex]
⇒ [tex]6x = 16[/tex]
⇒ [tex]x = \frac{16}{6}[/tex]
⇒ [tex]x = 2.66[/tex]
After solving the above equation for x we have,
x = 2.66
⇒ A line which is parallel to y axis.
Therefore, we draw a line graph at a point x = 2.66 which is parallel to y axis.
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