How do you write the equation of line passes through (-2,-2), and is perpendicular to y= -1/3x + 9?
By signing up, you agree to our Terms of Service and Privacy Policy
To write the equation of a line that is perpendicular to a given line, you need to find the negative reciprocal of the slope of the given line. The given line has a slope of -1/3, so the perpendicular line will have a slope of 3.
Now that we have the slope of the perpendicular line, we can use the point-slope form of a linear equation, which is y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.
Given the point (-2, -2) and the slope 3, we can substitute these values into the point-slope form to get the equation of the perpendicular line:
y - (-2) = 3(x - (-2))
Simplify:
y + 2 = 3(x + 2)
Distribute:
y + 2 = 3x + 6
Subtract 2 from both sides to isolate y:
y = 3x + 4
So, the equation of the line that passes through (-2, -2) and is perpendicular to y = -1/3x + 9 is y = 3x + 4.
By signing up, you agree to our Terms of Service and Privacy Policy
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
- How do you write an equation of a line with points (-2,-4), (2,4)?
- What are 2 consecutive odd numbers?
- What is the slope of any line perpendicular to the line passing through #(-2,7)# and #(-2,3)#?
- How do you write an equation in standard form given point (-5,4) and slope -4?
- How do you write the equation of a line in slope-intercept form that passes through (-1, -7) and (1, 3)?

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7