Question

Find the slope of the line
8 – 7x = 4y

Answer 1

slope = -
`(7)/(4)`

Explanation:

The equation of a line in slope- intercept form is

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

Given

8 - 7x = 4y, that is

4y = - 7x + 8 ( divide all terms by 4 )

y = -
`(7)/(4)` x + 2 ← in slope- intercept form

with slope m = -
`(7)/(4)`

Answer 2

Explanation:

y = mx + c

8 - 7x = 4y

4y = 8 - 7x

y = (8 - 7x)/4

= 2 - 7/4x

y = -7/4x + 2

Slope = m = -7/4