krystalmontes6
krystalmontes6 krystalmontes6
  • 09-11-2021
  • Mathematics
contestada

Write the slope-intercept form of the equation of the line described.
Through: (-1, -4), perp. to y= -1/7x+4

Respuesta :

lor067ewp lor067ewp
  • 09-11-2021

Answer:

The slope-intercept form is y = 7x + 3

Step-by-step explanation:

Remember: Perpendicular lines slope are negative reciprocals of each other.

y = -1/7x + 4.

Now you know the slope of the given line is -1/7.

So the slope of the perp line is 7/1 = 7 .  

Use the given point (-1, -4) and the perp slope = 7 into y =mx + b and solve for "b".

y = mx + b

-4 = 7(-1) + b

-4 = -7 + b

-4 + 7 = b

3 = b

The slope-intercept form is y = 7x + 3

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