Answer:
Y intercept will be -4.
Explanation:
Here we are given our function as
![2y+8=6x^2-10x](https://img.qammunity.org/2020/formulas/mathematics/high-school/n2s3fzjme0p33svwpri6v9vt8npzmj6ztw.png)
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 :
![2y+8=6x^2-10x2y+8=6x^2-10x](https://img.qammunity.org/2020/formulas/mathematics/high-school/p17um8rdb31tzl4owkadh1sy2mkvopk0zv.png)
Putting x =0
![2y+8=6x^2-10x2y+8=6(0)^2-10(0)](https://img.qammunity.org/2020/formulas/mathematics/high-school/2b8l3x9fbdneps0yq4he4z5idk6gvsbbgb.png)
![2y+8=6x^2-10x2y+8=0-10(0)](https://img.qammunity.org/2020/formulas/mathematics/high-school/zbd6owfig8m53qjz9oy1l357k3aciy6niq.png)
![2y+8=6x^2-10x2y+8=0](https://img.qammunity.org/2020/formulas/mathematics/high-school/uuavmpaafvudgmuffyp6vn6o53blb4z3vm.png)
subtracting both sides by 8
![2y+8=6x^2-10x2y=-8](https://img.qammunity.org/2020/formulas/mathematics/high-school/cd6yb9ih6elh9znj7bifhu97i3keg0wrjv.png)
dividing both sides by 2
=-4