How do you write an equation of a line given (7,-4) and m=2/5?
See below.
This is an example of the use for point-slope form for a line.
Point-slope form shows the relationship between the slope of a line and a point on the line, or mathematically,
Given that
By signing up, you agree to our Terms of Service and Privacy Policy
To write the equation of a line given a point (7, -4) and a slope ( m = \frac{2}{5} ), you can use the point-slope form of a linear equation:
[ y - y_1 = m(x - x_1) ]
Substitute the given values into the equation:
[ y - (-4) = \frac{2}{5}(x - 7) ]
Simplify:
[ y + 4 = \frac{2}{5}(x - 7) ]
[ y + 4 = \frac{2}{5}x - \frac{14}{5} ]
[ y = \frac{2}{5}x - \frac{14}{5} - 4 ]
[ y = \frac{2}{5}x - \frac{14}{5} - \frac{20}{5} ]
[ y = \frac{2}{5}x - \frac{34}{5} ]
So, the equation of the line is ( y = \frac{2}{5}x - \frac{34}{5} ).
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.
- The sum of two consecutive even integers is -298, what are the integers?
- How do you write an equation in point-slope form for the given y-intercept (0, 5) and is perpendicular to the line with equation y = –3x + 1?
- How do you find the equation given A(-2, 1) and B(3, 7)?
- How do you find the slope perpendicular to #x=-7#?
- How do you find the slope that is perpendicular to the line #3x-5y=-8#?

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