Question

Slope intercept form

Answer 1

Given:

The equation of the parallel line is

`y=-(5)/(2)x+7`

The required line passes through the point (-4,1).

To find:

The equation of line in slope slope intercept form.

Solution:

The slope intercept form of a linear function is

`y=mx+b`

Where m is slope and b is y-intercept.

On comparing the equation
`y=-(5)/(2)x+7` with slope intercept form, we get

`m=-(5)/(2)`

We know that the slopes of parallel lines are always same. So, the slope of the required line is
`m=-(5)/(2)`.

The line passes through the point (-4,1) with slope
`m=-(5)/(2)`. So, the equation of line is

`y-y_1=m(x-x_1)`

`y-(1)=-(5)/(2)(x-(-4))`

`y-1=-(5)/(2)(x+4)`

`y-1=-(5)/(2)x-10`

Adding 1 on both sides, we get

`y=-(5)/(2)x-10+1`

`y=-(5)/(2)x-9`

Therefore, the correct option is C.