Question

HELP PLEASE Identify an equation in point slope form for the line parallel to Y= 3/4x -4 that passes through (-1, 7)

Answer 1

The equation of required line is
`y-7=(3)/(4)(x+1)`

or
`y=(3)/(4)x+(31)/(4)`

Explanation:

Required equation is parallel to
`y=(3)/(4)x-4` this line.

As we know the slope of parallel line is equal.

Slope of given line is
`(3)/(4)`

Thus, Slope of required line,
`m=(3)/(4)`

Passing point: (-1,7)

Now, we have one point and slope of equation. Using point slope form of line to find the equation of required line.

Point Slope form of line,
`y-y_1=m(x-x_1)`

`y-7=(3)/(4)(x-(-1))`

`y-7=(3)/(4)(x+1)`

Hence, The equation of required line is
`y-7=(3)/(4)(x+1)`

or
`y=(3)/(4)x+(31)/(4)`