Answer:
The equation of the line that is perpendicular to y = -x – 10 and contains point (-12, 1)
[tex]y=x+13[/tex]
Please note there is something wrong with the values given question. This is correct answer.
Step-by-step explanation:
Slope of line y = -x – 10 is m1=-1
Since slope of perpendicular lines are negative reciprocal of each other
Slope of other line is m2=1
Equation of line contains point (-12, 1) and having slope m2=1 is
[tex]y-y_1=m(x-x_1)[/tex]
[tex]y-1 = 1(x+12)[/tex]
[tex]y =x+12+1 \\y = x + 13[/tex]
