Answer:
Step-by-step explanation:
Point Z divides XY into a 5:3 ratio, so Z is 5/3 of the way from X to Y. That ratio is k, found by writing the numerator of the ratio (5) over the sum of the numerator and the denominator (5 + 3 = 8). Our k value is 5/8. Now we will find the rise and run values which is the slope of this line segment:
Coordinates are found in this formula:
Filling that in:
which simplifies to
which gives us the final coordinates of Z to be
This problem already gave us the slope and y-intercept, so all that's left to do is plug those two values into slope-intercept form.
Slope-Intercept Form: y = mx + b
---m is the slope
---b is the y-intercept
y = 8/3x + 5
Hope this helps!! :)
15:42 ??? I think so. Have a good day.
REMEMBER: A rotation of 180 degrees means you flip both x and y numbers
E(-4,3)
F(7,-5)
G(-2,-8)