Question

Write the slope-intercept form of an equation of the line that passes through the point (5, -5) and is parallel to the graph of the equation 3x + y = -2.

Answer 1

`y=-3x+10`

Explanation:

Parallel equations have same slope

Therefore slope of 3x + y = -2 is same as slope of other equation.

Slope of 3x + y = -2 is

m=-3

Now we have write equation having slope -3 and passing through point (5, -5)

`(y+5)=-3(x-5)`

`y=-3x+10`