Question

Fill in the blank: The line y =4x +5 intersects y-axis at the point —————–.

Answer 1

The line y = 4x + 5 intersects y-axis

at the point ( 0 , 5 ) .

Explanation :

We know that ,

Equation of a line whose slope = m ,

and y - intercept = c is

y = mx + c ,

The point of intersection is ( 0 , c )

Now , compare y = 4x + 5 with

y = mx + c , we get

m = 4 , y - intercept ( c ) = 5

Therefore ,

Intercepting point = ( 0 , c )

= ( 0 , 5 )

Or

Substitute x = 0 in the given equation,

we get

y = 0 + 5 = 5

Therefore ,

Required point = ( x , y ) = ( 0 , 5 )

••••

Answer 2

hope this helps..........