What is the slope of the line perpendicular to 7x + 4y = 6 ?
Show answer & explanation
Correct answer: D
Explanation
7x + 4y = 6
Writing the equation in slope-intercept (y = mx + c) form:
4y = -7x + 6
y = (-7/4)x + 6/4
Thus, the slope of the given line = -7/4
The product of the slopes of two perpendicular lines is -1.
Therefore, the slope of the perpendicular line
= -1 ÷ (-7/4)
= 4/7