Answer:
The slope of a line parallel to this line will be: -7/9
The slope of the perpendicular line will be:
[tex]\frac{-1}{\frac{-7}{9}}=\frac{9}{7}[/tex]
Step-by-step explanation:
We know the slope-intercept form
[tex]y=mx+b[/tex]
Here,
Given the equation
[tex]7x+9y=5[/tex]
simplifying to write in the lope-intercept form
[tex]y=-\frac{7}{9}x+\frac{5}{9}[/tex]
Thus, the slope of the line is: -7/9
The slope of a line parallel to the line:
We have already determined that the slope of the line is: -7/9
- We know that the parallel lines have the same slope.
Thus, the slope of a line parallel to this line will be: -7/9
The slope of a line perpendicular to the line:
We have already determined that the slope of the line is: -7/9
As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line.
Thus, the slope of the perpendicular line will be:
[tex]\frac{-1}{\frac{-7}{9}}=\frac{9}{7}[/tex]
