Respuesta :
Add the 6x to both sides. Then divide both sides by 2 to get y by itself.
y <= 6x + 42
Note: if it were a -2y, you’d have to flip the inequality sign when dividing by that negative 2.
:)
y <= 6x + 42
Note: if it were a -2y, you’d have to flip the inequality sign when dividing by that negative 2.
:)
Answer: The required slope-intercept form is [tex]y\leq 3x+21.[/tex].
Step-by-step explanation: We are given to write the following inequality in slope-intercept form :
[tex]-6x+2y\leq 42~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
We know that
the slope-intercept form of an inequality of the given form is as follows :
[tex]y\leq mx+c,[/tex] where m is the slope and c is the y-intercept.
From inequality (i), we have
[tex]-6x+2y\leq 42\\\\\Rightarrow 2y\leq6x+42\\\\\Rightarrow y\leq\dfrac{6}{2}x+\dfrac{42}{2}\\\\\Rightarrow y\leq 3x+21.[/tex]
Thus, the required slope-intercept form is [tex]y\leq 3x+21.[/tex].
