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Andre45 [30]
3 years ago
11

Write the equation of the line with the following characteristics.

Mathematics
1 answer:
Alika [10]3 years ago
5 0

Answer:

y = 7x

y = 2x -3

y = 3

x = -2

Step-by-step explanation:

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

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

<u> This line will have a form:</u>

  • y= 7x + b

<u>Considering the given point of (0,0), to find the value of b:</u>

  • 0= 7*0+b ⇒ b =0

<u>The line is: </u>

  • y = 7x

b)Slope of 2 through the point (0,−3)

<u> Solving as above:</u>

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

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

<u> A horizontal line will have constant value for y for any value of x:</u>

  • y = 3

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

<u>A vertical line will have constant value of x for any value of y:</u>

  • x= -2
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