Question

A line has a slope of -1 over two and a Y intercept of -2 what is the X intercept of the line

Answer 1

Answer: $x=-4$

Step-by-step explanation:

The equation of the line in Slope-Intercept form is:

$y=mx+b$

Where "m" is the slope of the line and "b" is the y-intercept.

We know that the slope of this line is:

$m=-\frac{1}{2}$

And the y-intercept is:

$b=-2$

Since the line intersects the x-axis when $y=0$, we can substitute values into  $y=mx+b$:

 $0=-\frac{1}{2}x-2$

The final step is to solve for "x", then:

$2=-\frac{1}{2}x\\\\(2)(-2)=x\\\\x=-4$