Answer:
[tex]y = -x -1[/tex]
Step-by-step explanation:
Given
Passed through (-5,4)
Parallel to: y=-x + 6
Required
Determine the line equation
If it is parallel to: y=-x + 6, then it means that they have the same slope.
A linear equation y = mx + b has the slope m.
So, by comparison of y = mx + b to y = -x + 6
[tex]m = -1[/tex]
The line equation is then calculated as:
[tex]y=m(x - x_1) + y_1[/tex]
Where
[tex]m = -1[/tex]
[tex](x_1,y_1) = (-5,4)[/tex]
So:
[tex]y = -1(x - (-5)) + 4[/tex]
[tex]y = -1(x +5) + 4[/tex]
[tex]y = -x -5 + 4[/tex]
[tex]y = -x -1[/tex]
