What is the y-intercept of theline that passes through the points (2, 5) and (3, 6)
(0, -7)
(0, -3)
(0, 1)
(0, 3)

The y-intercept is  ( 0 , 3 ) .

Step-by-step explanation:

Given as :

The points are

, = 2 , 5

, = 3 , 6

Let The slope of line with these points = m

So, Slope of line =

i.e m =

Or, m =

Or, m =  

∴  m = 1

So, The slope = m = 1

Now, Equation of line with points , and slope m can be written as

y - tex]y_1[/tex] = m × ( x - tex]x_1[/tex] )

i.e y - 5 = 1 × ( x - 2 )

Or, y - 5 = x - 2

Or, y = x - 2 + 5

So, The equation of line is

y = x + 3

Again

For y - intercept

Put x = 0 in the line equation

∵ y = x + 3

Or, y = 0 + 3

∴ y = 3

So, The y - intercept = ( x , y ) = ( 0 , 3 )

Hence, The y-intercept is  ( 0 , 3 ) . Answer