write the slope intercept form of the equation of the line parrellel to the graph of 2x+y=5 that passes through (-3,1)

Question

no idea how to do this 

Answer 1

the slope intercept form is:  y = mx + b

where m = slope, b = y-intercept

 

2x + y = 5

y = -2x + 5

The slope is -2

 

Parallel lines have the same slope so you need

the equation of a line through (-3, 1) with slope -2:

 

y = -2x + b

Use the given point as (x, y) to find b:

 

1 = (-2)(-3) + b

1 = 6 + b

-5 = b

 

Your equation for the parallel line is

y = -2x - 5