Question

Write an equation in point-slope form for the line through the given point with the given slope.(3,-4);m=-1/4

Answer 1

The equation in point-slope form for the line through the given point with the given slope is:
`y+3 = -(1)/(4)(x-3)`

Explanation:

The point slope form of a line is given by:

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

Here m is the slope and (x1,y1) are the coordinates of the point through which the line passes.

Given

m = -1/4 and

(x1,y1) = (3,-4)

Putting the values in the point-slope form of line

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

Hence,

The equation in point-slope form for the line through the given point with the given slope is:
`y+3 = -(1)/(4)(x-3)`