Question

Which equations represent the line that is perpendicular to the line 5x - 2y = -6 and passes through the point

(5, -4)? Select three options.
y=-2 X-2
2x +hoy = -10
L2x - 5y = -10
y+ 4 = _{(x - 5)
y- 4 = 5(x+5)

Answer 1

See below

Explanation:

The given line has equation

`5x - 2y =  - 6`

The slope intercept form is

`y =  (5)/(2) x + 3`

The slope of this line is

`m = (5)/(2)`

The line perpendicular to this line has slope

`-  (2)/(5)`

If this line passes through (5,-4), the point-slope form is

`y + 4 =  -  (2)/(5) (x  - 5)`

The slope-intercept form is

`y =  -  (2)/(5) x- 2`

The standard form is

2x+5y=-10