I don’t understand. Could you break the question down?
Answer:
(11, -13)
Step-by-step explanation:
A is at (3, -5) and B is at (13, -15)
A point that is ⅘ of the way from A to B also divides the differences of the x-and y-coordinates in the same ratio.
For the x-coordinate,
x₂ - x₁ = 13 - 3 = 10
⅘ × 10 = 8
3 + 8 = 11
The x-coordinate of the point is x = 11.
For the y-coordinate,
y₂ - y₁ = -15 - (-5) = -15 + 5 = -10
⅘ × (-10) = -8
-5 + (-8) = -13
The y-coordinate of the point is at y = -13.
The coordinates of the point are then (11, -13).
The diagram below shows the point ⅘ of the way from A to B.
For a line with slope m that passes through a point
![(x_1, y_1)](https://tex.z-dn.net/?f=%28x_1%2C%20y_1%29)
, the point-slope form equation is the following.
![y-y_1=m(x-x_1)](https://tex.z-dn.net/?f=y-y_1%3Dm%28x-x_1%29)
We have a given slope of 4 and a given point of (7,5). Now, plug in the values.
![\boxed{y-5=4(x-7)}](https://tex.z-dn.net/?f=%5Cboxed%7By-5%3D4%28x-7%29%7D)
That is the
point-slope form of the line. Now, let's change this into slope-intercept form. Slope-intercept form looks like the following:
![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
Where m is the slope and b is the y-intercept. Let's do some algebra on our point-slop form equation to change it into slope-intercept form.
![y-5=4(x-7)](https://tex.z-dn.net/?f=y-5%3D4%28x-7%29)
This was our equation. Let's use the distributive property on 4(x-7).
![y-5=4x-28](https://tex.z-dn.net/?f=y-5%3D4x-28)
Now, add 5 to both sides of the equation
![\boxed{y=4x-23}](https://tex.z-dn.net/?f=%5Cboxed%7By%3D4x-23%7D)
This the
slope-intercept form of the line. Thus, we have solved for both the point-slope form and the slope-intercept form. Hope this helps! :)
Answer:
baby I'm a different yea yea yea yea ye
Answer:
500
Step-by-step explanation:
100 X 5 = 5 + 5 + 5 + 5...100 times = 100 + 100 + 100 + 100 + 100 = 500