Question

What is the slope of the line perpendicular to the graph -7x+y=1

a. -7
b. 1/7
c. [in bold] 1/7
d. 7

Answer 1

perpendicular slope = -
`(1)/(7)`

Explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y-intercept )

rearrange - 7x + y = 1 into this form

add 7x to both sides

y = 7x + 1 ← in slope- intercept form

with slope m = 7

given a line with slope m then the slope of a line perpendicular to it is

`m_(perpendicular)` = -
`(1)/(m)` = -
`(1)/(7)`

Answer 2

a.) -7

Explanation:

convert the equation into y-mx=b form

y=7x+1

7 is the slope for the other line, to make the new line perpendicular you have to use the inverse of the original slope (-7)