Question

Consider the line 7x+9y=5

Answer 1

Answer:

The slope of a line parallel to this line will be: -7/9

The slope of the perpendicular line will be:

$\frac{-1}{\frac{-7}{9}}=\frac{9}{7}$

Step-by-step explanation:

We know the slope-intercept form

$y=mx+b$

Here,

• m is the slope

• b is the y-intercept

Given the equation

$7x+9y=5$

simplifying to write in the lope-intercept form

$y=-\frac{7}{9}x+\frac{5}{9}$

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:

$\frac{-1}{\frac{-7}{9}}=\frac{9}{7}$