Is about inequalities, i know the rule of flipping the sign if you multiply or divide by a negative numbers but a few examples confuse me.
to make this inequality 5x+2y< 14 into the slope-intercept form y=mx+b, tell me if the sign has to be flipped.
i do it like this
5x+2y< 14
y< -5/2x+14/2
y< -5/2x+7
i am not dividing by a negative number but 5 is negative, 2 is positive, should i flip the sign or not?

do not flip the sign

Step-by-step explanation:

you only flip when you divide with negative number

however, for you to get the intercepts, you assumed

for y =0

5x +2(0)<14

5x<14

x<14/5<2.8

and also

x=0

5(0)+2y<14

2y<14

y<14/2

y<7

this assumption is because at interception, either x or y will be at origin

this shows a reflection over the x-axis and is translated one unit down and 6 units to the right (x + 6, y - 1)

hope this !

~just a girl in love with shawn mendes