# Math Help - Equations of Lines

1. ## Equations of Lines

I solved the answers for the following. Although, I do not know exactly how to grasp the concept of the x-intercept? I don't know what x-intercept is.

The equation $6x+8y+9=0$ has the x-intercept of ___ and the y-intercept of ___. It defines the straight line of ___.

x-intercept =
y-intercept = -9/8
Straight Line of Slope = -3/4.

The equation $4.5x+7.3y+2.1=0$ has the x-intercept of ___ and the y-intercept of ___. It defines the straight line of ___.

x-intercept =
y-intercept = -21/73
The Slope is = -45/73

The equation $-5.2x+7.4y-5.6=0$ has the x-intercept of ___ and the y-intercept of ___. It defines the straight line of ___.

x-intercept =
y-intercept = 28/37
The Slope is = 26/37

2. ## Re: Equations of Lines

Why haven't you found the x intercepts? Do you know that x-intercepts occur when y = 0?

3. ## Re: Equations of Lines

Prove It is correct. The x-intercept is simply where y=0.

Or, think of it this way... the x-intercept is where that line passes through (or intercepts) the x-axis. At that point, y must be zero.

The y-intercept works pretty much the same way. It's the point where the line passes through (or intercepts) the y-axis. And at that point, x must be zero.

Finding either intercept then just becomes a matter of knowing what is zero and setting that value to zero in the equation.