Question

A line has a slope of -3/2 and has a Y intercept of 3 what is the X intercept of the line

Answer 1

Answer:

x=2

Step-by-step explanation:

I just took the test.

Answer 2

Answer: $x=2$

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:

$m=-\frac{3}{2}$

And the y-intercept is:

$b=3$

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

 $0=-\frac{3}{2}x+3$

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

$-3=-\frac{3}{2}x\\\\(-3)(-2)=3x\\\\6=3x\\\\x=\frac{6}{3}\\\\x=2$