Question

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

Answer 1

Answer

See below

Step-by-step explanation:

The given line has equation

$5x - 2y = - 6$

The slope intercept form is

$y = \frac{5}{2} x + 3$

The slope of this line is

$m = \frac{5}{2}$

The line perpendicular to this line has slope

$- \frac{2}{5}$

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

$y + 4 = - \frac{2}{5} (x - 5)$

The slope-intercept form is

$y = - \frac{2}{5} x- 2$

The standard form is

2x+5y=-10