Question

Polong exercises for problems whose answer is an equation General form: Ax+By - 1. Write by inspection the slope of each line. (a) 2r-v=3 (e) = 10 + 2y

Answer 1

we know that

the standard equation of the line is

Ax+By=C

where

A is a positive integer and B and C are integers

we have that

the slope is equal to

m=-A/B

If A and B are equal sign, then the slope is negative

If A and B are diferent sign, the slope is positive

If A=0 the slope is zero

If B=0 the slope is undefined

so

Part a)

we have

2x-y=5

A=2

B=-1

A and B are diferent sign, the slope is positive

m=-2/-1

m=2

Part b

we have

x=10+2y

so

x-2y=10

A=1

B=-2

A and B are diferent sign, the slope is positive

m=-A/B

m=-1/-2

m=1/2

Part C

we have

4y=7

A=0

B=4

A=0 the slope is zero

m=0/4

m=0