15 points and brainliest for first answer

write the equation for a line that id perpendicular to the line 8x-4y=12 and passes through the origin

y = -(1/2)x

Step-by-step explanation:

given 8x-4y=12

arranging in slope-intercept form:

8x-4y=12

4y = 8x - 12 (divide both sides by 4)

y = 2x - 3

we can see that the slope of this line is the coefficient of x , which is 2.

The slope of a perpendicular line is the negative reciprocal of this number

m = -1/2

assembling the linear equation in point-slope form

y - y₁ = m (x - x₁)

given that the equation passes through the origin, then both x₁ and y₁=0

y - 0 = (-1/2) (x - 0)

y = (-1/2)x

y = -(1/2)x

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