1 Answer

Ahmad Alaraj · Answer 1 · 2021-10-12T15:00:46+0000

Answer:

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)

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