This table gives a few (x,y) pairs of a line in the coordinate planeX Y22 3627 5432 72What is the x intercept of the line?

Answer:The x-intercept of the line is the point (12,0)Step-by-step explanation:step 1Find the slope of the limeTake the points(22,36) and (32,72)The formula to calculate the slope between two points is equal to [tex]m=\frac{y2-y1}{x2-x1}[/tex] substitute the values[tex]m=\frac{72-36}{32-22}[/tex] [tex]m=\frac{36}{10}[/tex] [tex]m=3.6[/tex] step 2Find the equation of the line in point slope form[tex]y-y1=m(x-x1)[/tex]we have[tex]m=3.6[/tex] [tex]point (22,36)[/tex]substitute[tex]y-36=3.6(x-22)[/tex]step 3Find the x-interceptwe know thatThe x-intercept of a line is the value of x when the value of y is equal to zerosoFor y=0substitute in the equation and solve for x[tex]0-36=3.6(x-22)[/tex][tex]0-36=3.6x-79.2[/tex][tex]3.6x=79.2-36[/tex][tex]3.6x=43.2[/tex][tex]x=12[/tex]thereforeThe x-intercept of the line is the point (12,0)