The graphs of the two lines 4x=3y+23 and 4y+3x= -19 a. do not intersect. b. are identical c. intersect at (-2,5) d. are perpendicular

The correct option is D.

Step-by-step explanation:

The given equations are

The slope intercept form of a line is

where, m is slope and b is y-intercept.

Rewrite the given equations is the slope intercept form.

Therefore the slope of first line is and the slope of second line is .

Since the product of slopes of two perpendicular lines is -1, therefore we can say that both lines are perpendicular to each other. Option D is correct.

$12. that is my answer.