Question

a line passes through the points (3,0) and (4,1) whats the y-intercept of the line

Answer 1

Hi Mate!!!

Equation of line passing through the two points

( x1 , y1 ) , ( x2 , y2 ) and having slope m is

y - y1 = m ( x - x1 )

m = y2 - y1 / x2 - x1

Exp:-

y - y1 = m ( x - x1 )

x1 = 3 , y1 =0 and m = 1 - 3 / 4 - 0 = -1 / 2

y - 0 = -1 / 2 ( x - 3 )

2y = 3 -x

2y + x = 3 this is equation of required line.

Now, divide both sides by 3 we have

2y / 3 + x / 3 = 1

y / ( 3 / 2 ) + x / 3 = 1

so, y intercept is 3 / 2

Have a nice day...