Option C: [tex]y\leq -3x-23[/tex] is the right answer.
Step-by-step explanation:
Given inequality is:
[tex]6x+2y\leq -46[/tex]
The slope-intercept form is given by:
y = mx+b
So,
Subtracting 6x from both sides
[tex]6x+2y-6x\leq -46-6x\\2y \leq -6x-46[/tex]
Dividing both sides by 2
[tex]\frac{2y}{2}\leq \frac{-6x-46}{2}\\y \leq \frac{-6x}{2} -\frac{46}{2}\\y\leq -3x-23[/tex]
Hence,
Option C: [tex]y\leq -3x-23[/tex] is the right answer.
Keywords: Inequality, slope-intercept form
Learn more about slope-intercept form at:
- brainly.com/question/8811218
- brainly.com/question/853574
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