Answer:
x-int: (4, 0)
Step-by-step explanation:
First, we need to find the equation of the line.
The equation of a line is y = mx + b, where m is the slope and b is the y-intercept.
Thus, we need to find the slope first by using the slope formula:
[tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} } \\[/tex] or change in y / change in x
So we have: [tex]\frac{3-2}{1-2}=\frac{1}{-1}=-1=m[/tex]
We must plug in the slope to find the y-intercept:
[tex]3=-1(1)+b\\3=-1+b\\4=b[/tex]
So the equation of the line is y = -x + 4
The x-intercept means that the y coordinate is 0 so we can use the equation:
[tex]0=-x+4\\-4=-x\\4=x[/tex]
