Respuesta :

First move the y value to the right. 2x+7=4y
Then divide each term by four to isolate y in mx+b form. 1/2x+7/2=y
The slope is equal to the m vale, which is 1/2.

The slope of the given equation as per slope-intercept form of a straight line is  [tex]\frac{1}{2}[/tex].

What is the slope-intercept from of a straight line?

The slope-intercept form of a straight line is represented as: y = mx + c.

Where, m is the slope and c is the y-intercept of the straight line.

Given equation of the straight line is:

2x - 4y + 7 = 0

⇒ 4y = 2x + 7

⇒ [tex]y = \frac{2}{4} x + \frac{7}{4}[/tex]

⇒ [tex]y = \frac{1}{2} x + \frac{7}{4}[/tex]

Therefore, comparing this equation with the slope-intercept form of a straight line, we get: slope(m) = [tex]\frac{1}{2}[/tex].

Learn more about slope-intercept from of a straight line here: https://brainly.com/question/12648327

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