Find the slope of the line joining (2,4)and (4,7).write the coordinate of another point on the line. Check whether (5,8) is on the line? Answer please
Answers
Slope =y2-y1/x2-x1
=7-4/4-2
=3/2
Midpoint x1+x2/2, y1+y2/2
=2+4/2, 4+7/2
=6/2,11/2
=3,11/2
Answer:
The slope of a line can be calculated with the help of the formula y2-y1/x2-x1
let us assume here that x1=2 , y1=4 and x2=4 and y2=7 , by this we can calulate the slope as ,
slope m= 7-4/4-2 , and the result will be 3/2
now for next part we should know the equation of the line which can be obtained by using point slope form , that is y-y1 / x-x1 = m here m is the slope as calculated above ,
the given equation is , y-4 / x-2 = 3/2 by solving this we can get the result as , 3x-2y+2=0
now we can check whether 5,8 is in the line or not that is if it satisfies the given equation of line it is in the line otherwise not ,
it can be checked as, 3*5-2*8+2=1 the result is not coming equals to zero hence this point is not in the line