For the equation 9x + 15y = 4(2x - 7), the y-intercept is at the coordinate (0,y). What is the value of y? Type in your answer as a decimal rounded to the nearest hundredth.

1 answer

9x + 15y = 4( 2x - 7 )

The y-intercept is value of y when x=0

For x = 0

9 * 0 + 15y = 4 * ( 2 * 0 - 7 )

0 + 15y = 4 * ( 0 - 7 )

15y = 4 * ( -7 )

15y = -28 Divide both sides with 15

y = -28 / 15

y = -1.866666666666...

y = -1.87
rounded to the nearest hundredth