What is the slope of the line whose equation is 2x - 4y = 10?

Solution:

The given equation is 2x - 4y = 10

Equation of a line in slope-intercept form is y = mx + b

Where m is the slope

b is the y-intercept

x and y are a point on the line

2x - 4y = 10

Let us rewrite this equation in the slope-intercept form.

Now subtract 2x on both sides

-4y = 10 - 2x

By dividing 4 on both sides

-y = 10/4 - 2x/4

-y = 5/2 - x/2

We can write it as

-y = -x/2 + 5/2

Divide both sides by -1

y = 1/2 x - 5/2

Therefore, the slope is 1/2.

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What is the slope of the line whose equation is 2x - 4y = 10?

Summary:

The slope of the line whose equation is 2x - 4y = 10 is 1/2.