Answer :

absor201

Slope of given line = 1/2

Step-by-step explanation:

The given equation of line is in standard form. We have to convert the equation in slope-intercept form

[tex]2x-4y =10[/tex]

Subtracting 2x from both sides

[tex]2x-4y-2x = -2x+10\\-4y = -2x+10[/tex]

Dividing both sides by -4

[tex]\frac{-4y}{-4} =\frac{-2x+10}{-4}\\y = \frac{-2x}{-4} + \frac{10}{-4}\\y = \frac{1}{2}x - \frac{5}{2}[/tex]

when the equation is in slope-intercept form, the co-efficient of x is the slope of the line

Here the coefficient of x is 1/2 so

Slope of given line = 1/2

Keywords: Slope-intercept form, slope

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elijahstapleton17

Answer:

Slope of the line = ½

Step-by-step explanation:

Given parameters

Equation of a line: 2x - 4y = 10

Required: Determine the slope of the line

Given an equation of a line, the slope of the line is the coefficient of x when the coefficient of y is 1.

Having said this, we have to make y the subject of formula

2x - 4y = 10

Take 2x to the other side of the equation

-4y = 10 - 2x

Divide through by -4

-4y/-4 = (10 - 2x)/-4

y = (10 - 2x)/-4

y = 10/-4 -2x/-4

y = -10/4 + 2x/4

Reorder

y = 2x/4 - 10/4

y = x/2 - 5/2

y = ½x - 5/2

At this point, we have the coefficient of y to be 1. Hence, the coefficient of x is the slope of the line

Slope of the line = ½

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