Write the following inequality in slope-intercept form.

Question

6x+y≥11
Write your answer with y first, followed by an inequality symbol. Use integers, proper fractions, and improper fractions in simplest form.

Answer 1

To write the inequality \(6x + y \geq 11\) in slope-intercept form (\(y = mx + b\)), we need to isolate \(y\).

Starting with the original inequality:

\[6x + y \geq 11\]

Subtract \(6x\) from both sides:

\[y \geq -6x + 11\]

Thus, the inequality in slope-intercept form is:

\[y \geq -6x + 11\]