Question

9
What is the slope of the line whose equation is 2x – 4y = 9?
a) 1
2
c) 2
d) 3
solotion​

Answer 1

Answer:

m = 1/2

Step-by-step explanation:

The given equation of line is :

2x – 4y = 9 ..(1)

We need to find the slope of the line. The general equation of a line is given by :

y = mx + c ..(2)

Where

m is the slope of line

Equation (1) can be rearranged as follow :

-4y = 9-2x

4y = -9+2x

or

4y = 2x-9

Divide both sides by 4.

$\dfrac{4y}{4} = \dfrac{2x}{4}-\dfrac{9}{4}\\\\y=\dfrac{1}{2}x+(\dfrac{-9}{4})$ ..(3)

Now comparing equation (2) and (3) we get :

$m=\dfrac{1}{2}$

So, the slope of the line is 1/2.