what is the slope of a line parallel 25x-5y=25​

Mathematics · Middle School · Tue Nov 03 2020

Answered on

Given the equation of the line:

25x - 5y = 25

Determine the slope of the line.

Solution:

In order to determine the slope of the line we equate it in slope-intercept form written as,

y = mx + b

where m = slope

To do so, transpose -5y and 25 to the opposite sides of the equation, hence we must take note that when transposing a number, the sign changes.

25x - 5y = 25

5y = 25x - 25

Divide 5 on both sides of the equation in order to cancel out 5y.

5y/5 = 25x/5 - 25/5

y = 5x - 5

Looking tat the equation, it can be seen that the slope is 5.

m = 5

Final answer:
m = 5