How do you write an equation of a line passing through (-2, -2), perpendicular to #y=x+1#?
1 Answer
See the entire solution process below:
Explanation:
Because the equation given in the problem is in slope-intercept form we can easily determine the slope. The slope-intercept form of a linear equation is:
Where
Therefore the slope of the line from the problem is:
Let's call the slope of a perpendicular line
The slope of a perpendicular line is:
Substituting
Because we are given a point we can use the point-slope formula to find an equation for the line. The point-slope formula states:
Where
Substituting the slope we calculated and the point from the problem gives:
Solution 1)
We can also substitute the values from the problem and the slope we calculated into the slope-intercept formula and solve for
Solution 2)