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  • 10-04-2024
  • Mathematics
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A line has a slope of – 3 and passes through the point (4, – 15). Write its equation in slope-intercept form. Write your answ

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anbu40
anbu40 anbu40
  • 10-04-2024

Answer:

y = -3x - 3

Step-by-step explanation:

Slope-intercept form:

        [tex]\boxed{y = mx + b}[/tex]

m is the slope and b is the y-intercept.

Slope = m = -3

The line passes through the point (4 , -15).

 x = 4 ; y =-15 and m = -3

We can find the y-intercept by substituting in the above equation.

      -15 = (-3)*4 + b

      -15 = -12 + b

-15 +12 = b

         [tex]\boxe{b = -3}[/tex]

Slope-intercept form:

      y = -3x - 3

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