What is the equation of the line with slope # m= 13/7 # that passes through # (7/5,4/7) #?
Switch sides: 65x-35y=71 #color(white)("XXX")
By signing up, you agree to our Terms of Service and Privacy Policy
To find the equation of the line with a given slope ((m = \frac{13}{7})) that passes through the point ((\frac{7}{5}, \frac{4}{7})), you can use the point-slope form of a linear equation:
[y - y_1 = m(x - x_1)]
Where:
- (m) is the slope of the line.
- ((x_1, y_1)) are the coordinates of the given point.
In this case:
- (m = \frac{13}{7})
- (x_1 = \frac{7}{5})
- (y_1 = \frac{4}{7})
Plugging these values into the equation:
[y - \frac{4}{7} = \frac{13}{7}(x - \frac{7}{5})]
[y - \frac{4}{7} = \frac{13}{7}x - \frac{13}{5}]
[y = \frac{13}{7}x - \frac{13}{5} + \frac{4}{7}]
[y = \frac{13}{7}x - \frac{13}{5} + \frac{20}{35}]
[y = \frac{13}{7}x - \frac{13}{5} + \frac{20}{35}]
[y = \frac{13}{7}x - \frac{13}{5} + \frac{4}{7}]
[y = \frac{13}{7}x - \frac{65}{35} + \frac{20}{35}]
[y = \frac{13}{7}x - \frac{45}{35}]
[y = \frac{13}{7}x - \frac{9}{7}]
So, the equation of the line with slope (m = \frac{13}{7}) that passes through the point ((\frac{7}{5}, \frac{4}{7})) is (y = \frac{13}{7}x - \frac{9}{7}).
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.
- What is the slope and y-intercept of #7x - 14y = 35#?
- How do you write the equation #y-1=-2(x-5)# in slope intercept form?
- What is the equation of the line between #(-5,-8))# and #(-1,0)#?
- How do you write an equation of a line given (9,3) and m=-2/3?
- The play at the theater charges $7 for adults, $5 for school-age children, and $3 for babies?

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