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The slope-intercept form of a line is y = mx + b, where m is the slope and b is the y-intercept. If Shawn knows that the slope of the line is 4 and the line passes through the point (1,-8), which equation should he use to find the y-intercept and what is the y-intercept of the line? Choices are as follows: b = y + mx b = y - mx b = [tex]\frac{y-m}{x}[/tex] b = -12 b = -4 b = 2

Respuesta :

samkr14

Answer:

b=y-mx

Step-by-step explanation:

  • We know that y=mx+b is the slope intercept form of a line and we know that the slope of the line is 4.
  • So:
  • y = 4x+b
  • However, we need to find the y intercept of the line which is b. Using the point (1,-8), we can find the y intercept.
  • We need to find the equation to find the y-intercept.
  • So:
  • y = mx+b
  • b=y-mx
  • And now, we can substitute 4 for m which is the slope
  • b=y-4x
  • Using the point (1,-8) we can find the y-intercept
  • b=(-8)-4(1)
  • b=-8-4
  • b=-12

the equation of the line is y = 4x - 12 with the slope being 4 and y-intercept is -12. The equation we used is b = y-mx

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