achughes2003 achughes2003
  • 24-04-2021
  • Mathematics
contestada

The slope of the line below is -2. Use the coordinates of the labeled point to
find a point-slope equation of the line.

The slope of the line below is 2 Use the coordinates of the labeled point to find a pointslope equation of the line class=

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akposevictor
akposevictor akposevictor
  • 30-04-2021

Answer:

[tex] y + 6 = -2(x - 4) [/tex]

Step-by-step explanation:

Given:

Slope (m) = -2

Point on the line = (4, -6)

Required:

Point-slope equation of the line

Solution:

Point-slope equation takes the following form:

[tex] y - b = m(x - a) [/tex],

Where,

m = slope of the line = -2

(a, b) = coordinates of the point on the line. = (4, -6)

Plug in the values into the slope-point equation

[tex] y - (-6) = -2(x - 4) [/tex]

[tex] y + 6 = -2(x - 4) [/tex]

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