this table gives a few (x,y) pairs of a line in the coordinate plane what is the y-intercept of of the line?

Answer:y intercept is -23Step-by-step explanation:Here we are given three coordinates and are asked to find y intercept of the line passing through these points. We thus find the equation of this line by two point form the form says(y-y1)/(x-x1) = (y2-y1)/(x2-x1) Here (x1,y1) = ( -36 , 1 ) and (x2,y2) = ( 13,-54)Substituting the values we get(y-1)(x+36)=(1-13)/(-36-(-54))(y-1)(x+36)=(-12)/(-36+54)(y-1)(x+36)=(-12)/(18)y-1=-2/3 ( x+36)In order to determine the y intercept we are required to leep x = 0  in above equation and solve for y y-1 = -2/3 (0+36 ) y-1= (-2/3) x (36 ) y-1 = -2 x 12y-1 = -24adding 1 on both hand sidesy = -24 +1 y=-23