1 Answer

Yousuf Sultan · Answer 1 · 2021-01-20T04:30:59+0000

The slope of a line that is perpendicular to a line whose equation is −2y = 3x + 7 is
(2)/(3)

Solution:

Given that we have to find the slope of the line that is perpendicular to a line whose equation is −2y = 3x + 7

The slope intercept form is given as:

y = mx + c

Where "m" is the slope of line and "c" is the y - intercept

Given equation is:

$-2y = 3x + 7\\\\-y = (3)/(2)x + (7)/(2)\\\\y = (-3)/(2)x - (7)/(2)$

On comparing the above equation with slope intercept form,

m = (-3)/(2)

We know that product of slope of a line and slope of line perpendicular to it is -1

Therefore,

$(-3)/(2) * \text{ slope of line perpendicular to it } = -1\\\\ \text{ slope of line perpendicular to it } = (2)/(3)$

Thus slope of line that is perpendicular to given line is
(2)/(3)

Please log in or register to add a comment.