How do you find the y intercept for y = 12x^2 - 35x + 8y=12x235x+8?

1 Answer
Apr 6, 2018

The yy-intercept is (0, 8)(0,8).

Explanation:

yy-intercept is the value at which xx is zero , or the value of yy which the point on the line of the graph crosses the yy axis .

Since xx has to be 00, let's substitute 00 for xx in the equation:
y = 12x^2 - 35x + 8y=12x235x+8
y = 12(0)^2 - 35(0) + 8y=12(0)235(0)+8
y = 0 - 0 + 8y=00+8
y = 8y=8

Finally, since a yy-intercept is a point, we must write it as one. So the point is (0, 8)(0,8).

If we are to graph this, we can see that the graph does indeed have a yy-intercept of (0, 8)(0,8):
enter image source here

Hope this helps!