Question

Find the location of the y intercept for the line y - 6 = -3/2 (x - 4)

Answer 1

y- intercept is located at (0, 12 )

Explanation:

the equation of a line in slope- intercept form is

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

given the line with equation

y - 6 = -
`(3)/(2)` (x - 4 ) ← distribute parenthesis

y - 6 = -
`(3)/(2)` x + 6 ( add 6 to both sides )

y = -
`(3)/(2)` x + 12 ← in slope- intercept form

with y-intercept c = 12

the y- intercept is located at (0, 12 )