Acontractor is building a new subdivision on the outside of a city. he has started work on the first street and is planning for the other streets to run in a direction parallel to the first. the second street will pass through (−5, −1). find the equation of the location of the second street in standard form. x − y = −6 2x + y = −11 x + y = −6 2x − y = −9

  x + y = -6

Step-by-step explanation:

The equation of the first street is x+y = 1. The equation of the second street will have the same form, but with a different constant. Since the constant is the sum of the x and y coordinate values, it is easily found to be -5-1 = -6. Then the equation is ...

  x + y = -6

The first street is seen from the graph to have a slope of -1 (1 unit down for each 1 unit to the right). Since the y-intercept is +1, the slope-intercept form of its equation is ...

  y = -x + 1

In standard form, this is ...

  x + y = 1

A parallel line will have the same expression on the left with a different constant on the right.

Option 3

Step-by-step explanation:

g = (2, 2)

step-by-step explanation:

given the ratio is 1 : 1 then f is the midpoint of eg

let the coordinates of g = (x, y)

using the midpoint formula

(0 + x) = 1 ( multiply both sides by 2 )

0 + x = 2 ⇒ x = 2

similarly

(4 + y) = 3 ( multiply both sides by 2 )

4 + y = 6 ( subtract 4 from both sides )

y = 2

coordinates of g = (2, 2)