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antiseptic1488 [7]
3 years ago
7

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

Mathematics
1 answer:
Stolb23 [73]3 years ago
3 0

Answer:

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

Step-by-step 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) = -\frac{1}{4}(x-3)\\y+4 = -\frac{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 = -\frac{1}{4}(x-3)

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