ashlynea2005
Answered

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Which equations best describes the graph of a line that has a slope of - 1/2 and passes through the point (2,-3)? O y = 2x +4 O 2x +y=24 Ov--x-4 O y = x + 2​

Sagot :

absor201

Answer:

The equation which best describes the graph of a line that has a slope of - 1/2 and passes through the point (2,-3) will be:

  • y = -1/2x - 2

Step-by-step explanation:

The slope-intercept form of the line equation

[tex]y = mx+b[/tex]

where

  • m is the slope
  • b is the y-intercept

In our case, we are given

The slope m = -1/2

Point (2, -3)

now substituting m = -1/2 and (2, -3) in the slope-intercept form of the line equation to determine the y-intercept

[tex]y = mx+b[/tex]

-3 = -1/2(2) + b

-3 = -1 + b

b = -3 + 1

b = -2

now substituting m = -1/2 and b = -2 in the slope-intercept form of the line equation

y = mx + b

y = -1/2x + (-2)

y = -1/2x - 2

Therefore, the equation which best describes the graph of a line that has a slope of - 1/2 and passes through the point (2,-3) will be:

  • y = -1/2x - 2
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