Question

11. Perpendicular to y-3=(x + 5) and passing through the point (4,8).

Write an equation. Decide whether to use slope intercept form or point slope form.

Answer 1

Equation: y = x + 4.

Explanation:

Let the equation will be y = mx + c, where m is the slope of the equation and c is the constant.

The perpendicular equations' slope's multiplication is -1.

Since the above equation needs to be perpendicular to the given equation, the slope of the equation, that is m = -1(As the slope of the given equation is 1).

It is given that, the equation passes through (4, 8).

`8 = 4*1 + c\\c = 4`.

Hence, the equation is y = x + 4.

It is slope intercept form.