Question

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

Answer 1

y = 7x

y = 2x -3

y = 3

x = -2

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