Question

Follow the directions in the picture.

Answer 1

The y-intercept of Line A is 6

And The y-intercept of Line B is 1

Explanation:

Given;

Equation of Line A:

`y-4=-2*(x-1)`

`y-4=-2x+2`

`y-4+4=-2x+2+4` (By adding 4 on both sides)

`y=-2x+6` (Equation 1)

We have,

For straight line in coordinate geometry;

`y=mx+b` Where 'b' is intercept on y-axis.

By comparing this with equation-1;

`b=6` and
`m=-2`

The y-intercept of Line A is 6

Line B:

Given;

'x' values are
`-1` ,
`0` and
`1`

And 'y' values
`0` ,
`1` and
`2`

We know,

`Slope(m)=(y_(2)-y_(1) )/(x_(2)-x_(1))`

By plug any two values of 'x' and 'y' in above equation,

`m=(2-1)/(1-0)`

`m=1`

Now,

For straight line in coordinate geometry;

`y=mx+b`

Plug
`m=1` and also any 'x' and 'y' values in above equation;

`2=1*1+b`

`b=1`

The y-intercept of Line B is 1