Answered

A line is passing through (-4, 5). Solve for its equation if its perpendicular
to the following lines. Also, locate its point of intersection.
1.) x + y – 2 = 0

Sagot :

YURI2005GO

Answer:

y = x + 9

Step-by-step explanation:

SOLUTION:

Step 1:

Find the slope of the line that is perpendicular to x + y - 2 = 0:

m = 1

Step 2: (the first picture)

Substitute [tex] \left \{ {{m=1} \atop {{x=- 4}} \atop {{y=5}} \right.[/tex] into

[tex]y = mx + b\\\\5 = -4 +b\\-b = -4 -5\\-b = -9\\b = 9[/tex]

Step 3: (the second picture)

[tex]Substitute \left \{ {{m=1} \atop {b=9}} \right. into y = mx + b:[/tex]

[tex]y = x + 9[/tex]

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