what is the slope of the line that passes through the pair points (-7/2,-3)and (-5,5/2)? so far i did m=5/2-(-3) / -5-(-7/2)=11/2 / -3/2 i don't know the rest
Im finished my math homework but not this question and class starts in 15 minutes please help me!!!!
(5/2 +3) / (-5 + 7/2)
(5 + 6) / (-10 + 7)
11/-3
= -11/3
You did fine.
[(11/2) / (-3/2)] * [2/2]
= 11/-3
times [-1/-1]
= -11/3
No worries! I'm here to help you solve the problem and find the slope of the line passing through the given points.
To find the slope of a line passing through two points, we can use the formula:
m = (y2 - y1) / (x2 - x1)
Let's apply this formula to the given points:
Point 1: (-7/2, -3)
Point 2: (-5, 5/2)
Substituting the coordinates into the formula, we get:
m = (5/2 - (-3)) / (-5 - (-7/2))
Now, let's simplify the equation step by step:
m = (5/2 + 3) / (-5 + 7/2)
m = (5/2 + 6/2) / (-5 + 7/2)
m = 11/2 / (-5 + 7/2)
Next, we need to simplify the denominator:
-5 + 7/2 = -5 + 14/2
-5 + 7/2 = -5 + 7
-5 + 7/2 = 2/2 + 7/2
-5 + 7/2 = 9/2
Now, we can substitute the simplified values back into our equation:
m = 11/2 / (9/2)
To divide by a fraction, we can multiply by its reciprocal (or invert it). So, let's flip the denominator:
m = 11/2 * 2/9
Now, multiply across the numerators and denominators:
m = (11 * 2) / (2 * 9)
m = 22/18
Finally, we can simplify the fraction by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 2:
m = (11/9) * (2/2)
m = 22/18 * 1/1
m = 22/18
The simplified slope of the line passing through the given points is 22/18.