Step-by-step explanation:
First, find the slope between the points.
m = (y₂ − y₁) / (x₂ − x₁)
m = (24 − 17) / (20 − 15)
m = 7/5
Next, write the equation in point-slope form, using either of the points.
y − 17 = 7/5 (x − 15)
If desired, simplify.
y − 17 = 7/5 x − 21
y = 7/5 x − 4
Theres a saying: Dividing fractions dont ask why, just flip the second and multiply.
so a/b / c/d = a/b * d/c
-8/2 * -3/6
1. cross - cancel common factor 2
4/2 * -3/3
2. Multiply
-4(-3)/ 2*3
3. multiply numbers
--12/2*3
- -12/6
4. Apply fraction rule -a/b=- a/b
=-(-12/6)
5. divide
= -(-2)
6. Apply rule -(-a)=a
=2
Your answer would be 2
When a line is perpendicular, the slope is the negative reciprocal. Therefore, since the slope is 4, the slope of a line perpendicular is -1/4
The graph of the function is a parabola.
The nose comes down as far as y=4 but no farther.
That happens when (x - 2)² = 0 , and THAT happens when x = 2 .