i don't know how to solve sbout
(4,4)(2,-6)?
To solve for a question about the points (4,4) and (2,-6), it's important to understand what you are trying to solve for. Are you looking for the distance between the two points, the midpoint between them, or the equation of the line passing through them?
If you're looking for the distance between the two points, you can use the distance formula. The distance formula is derived from the Pythagorean theorem and is given by:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Using the points (4,4) and (2,-6), you can substitute the values into the distance formula equation to find the distance between the two points.
d = sqrt((2 - 4)^2 + (-6 - 4)^2)
= sqrt((-2)^2 + (-10)^2)
= sqrt(4 + 100)
= sqrt(104)
≈ 10.198
Therefore, the distance between the points (4,4) and (2,-6) is approximately 10.198 units.
If you're looking for the midpoint between the two points, you can use the midpoint formula. The midpoint formula is given by:
M = ((x1 + x2)/2, (y1 + y2)/2)
Using the points (4,4) and (2,-6), you can substitute the values into the midpoint formula to find the coordinates of the midpoint.
M = ((4 + 2)/2, (4 + -6)/2)
= (6/2, -2/2)
= (3, -1)
Therefore, the midpoint between the points (4,4) and (2,-6) is (3, -1).
If you're looking for the equation of the line passing through the two points, you can use the slope-intercept form of a linear equation. The slope-intercept form is given by:
y = mx + b
where m is the slope of the line and b is the y-intercept. To find the slope between two points, you can use the formula:
m = (y2 - y1)/(x2 - x1)
Using the points (4,4) and (2,-6), you can substitute the values into the formula to find the slope.
m = (-6 - 4)/(2 - 4)
= (-10)/(-2)
= 5
Now that you have the slope, you can substitute one point (let's use (4,4)) and the slope into the slope-intercept form equation to find the y-intercept.
4 = 5(4) + b
4 = 20 + b
b = 4 - 20
b = -16
Therefore, the equation of the line passing through the points (4,4) and (2,-6) is y = 5x - 16.