We need to find m and b to find in the equation of a line:
y = mx + b
↑ <span>↑
slope y-intercept
To find m, the slope, we need to find the rise over the run of the line. You pick two points and use the y values finding the difference of them and do the same for the x values and put them on the bottom. Let's use the points (0, -2) and (4, 0):
</span>↑ ↑<span>
(x₁, y₁) (x₂, y₂)
m = (y</span>₂ - y₁)/(x₂ - x₁)
m = (-2 - 0)/(0 - 4)
m = (-2)/(-4)
m = 1/2
The slope is positive since the line is going upward from left to right.
Now we need b, the y intercept, where the line intersects with the y axis, simply by looking at the graph. b is -2.
Thus, the answer is C. y = 1/2x - 2.
1 switch sides
(x-4)=0
add four to both sides
x-4+4 = 0+4
simplify
x = 4
-9/7
which would be -1 2/7, but slope is not done in mixed fractions.
Answer:
- n + q = 25
- 0.05n + 0.25q = 4.05
Step-by-step explanation:
<em>Two equations</em> are required to represent this problem as posed.
1. An equation for the number of coins:
n + q = 25
2. An equation for the value of the coins:
0.05n + 0.25q = 4.05
The value of 8 is 800,000 or eight hundred thousand
