The equation y = 7 x - 5 / 14 is an equation of a straight line. However, the important thing to realize is that the y-axis intersection always happens when x = 0. For this reason, the intersection point can be easily identified by simply putting x = 0 into the above equation which gives us,

y = 7 * 0 - 5 / 14 = - 5 / 14

Therefore, the intersection of the y axis for the above equation happens at y = -5/14 (x = 0).

I hope this answers your question and allows you to find the intersections of similar equations in the future. Good luck!

The equation given is for a straight line in the form of "y = mx + b." For equations of this type, y is the coordinate on the y axis, m is the slope, x is the coordinate on the x axis, and b is the y-intercept. It may help us if we re-write the equation to use addition instead of subtraction.

y = 7x - 5/14 = 7x + (-5/14)

From here, we can see that the y-intercept is -5/14.

Good Luck!

A little late here but I think the other answers failed to explain why the answer was -5/14 adequately. The y intercept is where the line crosses through the y-axis. This happens when the x coordinate is 0, so you just have to find the y coordinate when x=0.

y=0 - 5/14

y=-5/14

so the y intercept is at -5/14