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Write the equation of the line with the following characteristics.

a)Parallel to y=7x+2 through the point (0,0)

b)Slope of 2 through the point (0,−3)

c)A horizontal line through the point (0,3)

d)A vertical line through the point (−2,0)

PLZZZZ HELP VERY URGENT

Respuesta :

mhanifa

Answer:

y = 7x

y = 2x -3

y = 3

x = -2

Step-by-step explanation:

  • Slope-intercept form: y= mx+b
  • Parallel lines have same slope

a)Parallel to y=7x+2 through the point (0,0)

This line will have a form:

  • y= 7x + b

Considering the given point of (0,0), to find the value of b:

  • 0= 7*0+b ⇒ b =0

The line is:

  • y = 7x

b)Slope of 2 through the point (0,−3)

Solving as above:

  • y= 2x + b
  • -3 = 2*0 + b ⇒ b = -3
  • y = 2x -3

c)A horizontal line through the point (0,3)

A horizontal line will have constant value for y for any value of x:

  • y = 3

d)A vertical line through the point (−2,0)

A vertical line will have constant value of x for any value of y:

  • x= -2

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