Write the following inequality in slope-intercept form. 6x + 2y ≤ -46

Solution:

Slope intercept form is y = mx + c

Given equation is 6x + 2y ≤ -46

Add (-6x) on both sides

2y ≤ -46 - 6x

Divide by 2 on both sides

y ≤ -23 - 3x

Note: The above equation can also be converted into intercept form

The intercept form of the equation is x/a + y/b = 1

The given equation is 6x + 2y ≤ -46

Dividing through out by (-46)

x/(-23/3) + y/(-23) ≤ 1

Write the following inequality in slope-intercept form. 6x + 2y ≤ -46

Summary:

The slope-intercept form of the inequality 6x + 2y ≤ -46 is y ≤ -23 - 3x.