Answer:
Y intercept will be -4.
Step-by-step explanation:
Here we are given our function as
[tex]2y+8=6x^2-10x[/tex]
We are asked to determine the y intercept.
The y intercept is the y ordinate of the coordinates of the point at which the graph of the function intersects the y axis.
Please note that the point at which graph cuts the y axis have x=0
Hence in order to determine y intercept we need to put x=0 in our function and solve it for y :
[tex]2y+8=6x^2-10x2y+8=6x^2-10x[/tex]
Putting x =0
[tex]2y+8=6x^2-10x2y+8=6(0)^2-10(0)[/tex]
[tex]2y+8=6x^2-10x2y+8=0-10(0)[/tex]
[tex]2y+8=6x^2-10x2y+8=0[/tex]
subtracting both sides by 8
[tex]2y+8=6x^2-10x2y=-8[/tex]
dividing both sides by 2
=-4
