Question

Can someone help me please? (Math)

Answer 1

Let y =
`(x)/(2)` + 3 be line₁
And the perpendicular angle be line₂


If a line is perpendicular to another, then the product of their gradients is -1, which means that the gradient of line₂ would be the negative reciprocal of line₁

Based on that, if the gradient of line₁ is
`(1)/(2)`
then, the gradient of line₂ is - 2.

Now by using the point-slope form y - y₁ = m ( x - x₁)

If line₂ passes through the line (1,8) and have gradient -2,
then by exploiting the point-slope form y - 8 = -2 (x - 1)

∴ equation of the ine perpendicular to y =
`(x)/(2)` + 3 would be y = -2x + 10