State the slope of a line that is parallel to the equation 7x+4y=28

Question

Full problem is:

given the equation 7x+4y=28 

 

a.) State the slope of a line that is parallel to It

 

B.) state the slope of a line that is perpendicular to it

Answer 1

first find the slope of the line given by solving for y

 

7x + 4y = 28

 

4y = -7x + 28

 

y = -7x/4 + 7

 

slope = -7/4

 

a) a parallel line would have the same slope

 

b) the slope of a perpendicular line would be the negative reciprocal of -7/4

 

so its slope would be 4/7