Answer: [tex]x=2[/tex]
Step-by-step explanation:
The equation of the line in Slope-Intercept form is:
[tex]y=mx+b[/tex]
Where "m" is the slope of the line and "b" is the y-intercept.
We know that the slope of this line is:
[tex]m=-\frac{3}{2}[/tex]
And the y-intercept is:
[tex]b=3[/tex]
Since the line intersects the x-axis when [tex]y=0[/tex], we can substitute values into [tex]y=mx+b[/tex]:
[tex]0=-\frac{3}{2}x+3[/tex]
The final step is to solve for "x", then:
[tex]-3=-\frac{3}{2}x\\\\(-3)(-2)=3x\\\\6=3x\\\\x=\frac{6}{3}\\\\x=2[/tex]
Answer:
x=2
Step-by-step explanation:
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