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Gwar [14]
3 years ago
7

What is the equation of the line that passes through the point (1,3) and has a slope of -- 32

Mathematics
1 answer:
Korolek [52]3 years ago
5 0

Answer:

The equation of the line that passes through the point (1,3) and has a slope  of -32.

y=-32x+35

Please check the attached graph too.

Step-by-step explanation:

Given

  • Point (1, 3)
  • The slope m = -32

The point-slope form:

y-y_1=m\left(x-x_1\right)

where

  • m is the slope of the line
  • (x₁, y₁) is the point

In our case:

m = -32

(x₁, y₁) = (1, 3)

substituting m = -32 and (x₁, y₁) = (1, 3) in the point-slope form of the line equation

y-y_1=m\left(x-x_1\right)

y-3=-32\left(x-1\right)

Add 3 to both sides

y-3+3=-32\left(x-1\right)+3

Simplify

y=-32x+35

Therefore, the equation of the line that passes through the point (1,3) and has a slope  of -32.

y=-32x+35

Please check the attached graph too.

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