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.
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
To find the y-intercept of the equation 9x + 15y = 4(2x - 7), we need to determine the value of y when x is 0.
Step 1: Substitute x = 0 into the equation.
9(0) + 15y = 4(2(0) - 7)
Simplifying the equation:
0 + 15y = 4(0 - 7)
15y = 4(-7)
15y = -28
Step 2: Solve for y by dividing both sides of the equation by 15.
y = -28/15 ≈ -1.87
Thus, the value of y when x is 0 (the y-intercept) is approximately -1.87.