jlemmy
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Write an equation of the line that passes through (8,1) and is perpendicular to the line 2y+4x=12.

Respuesta :

Answer:

y=1/2x-3

Step-by-step explanation:

To solve for the slope of this equation, we have to find the negative reciprocal of the slope of 2y+4x=12.

To solve for the slope of 2y+4x=12, we do -a/b, which is -4/2, which simplifies to -2.

From here, we get the negative reciprocal of -2, which is 1/2. This is the slope for the new equation.

The y-intercept is -3.

Now we can substitute the values into the equation to get an answer of:

y=1/2(slope)x - 3(y-intercept)

Hope this helps! :)

fichoh

The equation of the perpendicular line whigh passes through (8.1) is y = - 1/2x - 3

Given the line equation :

  • 2y + 4x = 12

Expressing in slope - intercept form:

2y = - 4x + 12

Divide through by 2

y = - 2x + 12

Slope = - 2

Since the lines are perpendicular ;

Slope = negative reciprocal ;

Slope = +1/2

Using the coordinates Given to obtain the intercept :

1 = 1/2(8) + c

1 = 4 + c

1 - 4 = c

c = - 3

The equation of the line becomes ;

  • y = - 1/2x - 3

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