Question

Find the slope and the y-intercept of the following linear equation. 5. 3x + 2y = 14

Answer 1

slope = -
`(3)/(2)` , y- intercept = 7

Explanation:

the equation of a line in slope- intercept form is

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

given

3x + 2y = 14 ( subtract 3x from both sides )

2y = - 3x + 14 ( divide through by 2 )

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

with slope m = -
`(3)/(2)` and y- intercept c = 7