Question

The equation for line g can be written as y=2/9x+10.line h which is Pharrell to line g,includes the point (-3,-1) what is the equation of line h

Answer 1

The equation of line h is
`y = (2x)/(9) + (5)/(3)`

Explanation:

Equation of a line:

The equation of a line has the following format:

`y = mx + b`

In which m is the slope and b is the y-intercept.

Parallel lines:

Parallel lines have the same slope.

Line g:

`y = (2x)/(9) + 10`

Line h:

Parallel to line g, which means that the slope is given by
`m = (2)/(9)`

So

`y = (2x)/(9) + b`

Includes the point (-3,-1)

This means that when
`x = -3, y = -1`. We use this to find b. So

`y = (2x)/(9) + b`

`1 = (2(-3))/(9) + b`

`b = 1 + (2)/(3)`

`b = (5)/(3)`

So, the equation of line h is:

`y = (2x)/(9) + (5)/(3)`