7vcwtt8gss 7vcwtt8gss
  • 03-02-2024
  • Mathematics
contestada

Given a line that passes through the points (-2,9) and m=-4 write the equation of this line in each form

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aadyaimanoj aadyaimanoj
  • 03-02-2024

Answer:

slope-intercept form: y=-4x+1

point slope form: y-9=-4(x+2)

standard form: 4x+y=1

Step-by-step explanati4x+y=1on:

slope-intercept form: y=mx+b

substitute both (-2,9) and m=-4 into the equation to find b:

9=-4(-2)+b

9=8+b

b=1

point slope form: y-y1=m(x-x1)

substitute the values you already know

y-9=-4(x+2)

standard form: ax+by=c

take y=-4x+1 and add 4x to both sides:

4x+y=1

the a value is already positive, so no need to do anything more

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