Answer:
The answer to your question is y = 4/3x + 1/3
Step-by-step explanation:
Data
Point A = (2, 3)
Point B = (5, 7)
Process
1.- Calculate the slope
x1 = 2 y1 = 3
x2 = 5 y2 = 7
m = (y2 - y1)/(x2 - x1)
- Substitution
m = (7 - 3)/(5 - 2)
- Slope
m = 4/3
2.- Find the equation of the line
y - y1 = m(x - x1)
y - 3 = 4/3(x - 2)
y - 3 = 4/3x - 8/3
y = 4/3x - 8/3 + 3
y = 4/3x - 8/3 + 9/3
y = 4/3x + 1/3
Answer:
The distance between the two points is about 7.1 units.
Step-by-step explanation:
We want to find the distance between the two points (-3, 6) and (2, 1).
To find the distance between any two points, we can use the distance formula:
Let (-3, 6) be (<em>x₁, y₁</em>) and (2, 1) be (<em>x₂, y₂</em>). Substitute:
Simplify:
Evaluate:
The distance between the two points is about 7.1 units.
3/12 if u break each granola bar into four pieces
Answer:
- The effect of the negative sign is that it reflects the graph of the function over the x-axis.
- That means that the graph that represents such function is a parabola that opens downward, being its vertex the maximum of the graph.
Explanation:
The vertex form of a parabola is y = A (x - h)² + k.
The values of A, h, and k means the following:
- A > 0 the parabola opens upward and the vertex is a minimum,
- A < 0 the parabola opens downward and the vertex is a maximum.
- A cannot be equal to zero.
- | A | > 0 the parabola is stretched vertically.
- | A | < 0 the parabola is compressed vertically.
- The vertex of the function is the point (h, k).
So, for the given function you have:
- A = - 1/2, so the parabola opens downward and the vertex is the maximum.
- Also, since |A| < 1 means that the parabola is compressed vertically.
- The vertex is (1, 3), so the maximum of the function is 3 and it happens at x = 1.
4 I think it’s 4 because 2x would be 4 and 8