Write the equation of the line that goes through the given point on the graph and is parallel to the line shown in the graph.

Write the equation of the line that goes through the given point on the graph and is parallel to the line shown in the graph class=

Respuesta :

Answer:

y = -x - 9

Step-by-step explanation:

The slope of the given line is -1

The coordinate given is ( -7 , -2 )

Since the line is parallel, we can plug in the slope into the equation:

y = -1x + b, simplified to y = -x + b

To calculate the y-intercept, you simply put the coordinates into the equation and solve for b:

-2 = - ( -7 ) + b

-2 = 7 + b

-2 - 7 = b

-9 = b

Now put the b value into the equation and you have the answer:

y = -x - 9