Step-by-step explanation:
We are given the co-ordinates,
x : -2, -1, 0, 1, 2
y : 8, 5, 2, -1, -4
According to the graph, we see that this function represents a straight line.
The general form of the straight line is y = mx + c, where m is the slope and c is the y-intercept.
So, taking any two points we will find the equation of the straight line.
Consider, (0,2) and (1, -1). Now, slope is given by,
m = ![\frac{-1-2}{1-0}](https://tex.z-dn.net/?f=%5Cfrac%7B-1-2%7D%7B1-0%7D)
i.e. m = -3
Now, we will find the y-intercept of this equation using (0,2) and m = -3,
i.e. y = -3x + c
i.e. 2 = c
Hence, the equation of the straight line is y = -3x + 2.
Answer: 2 combinations .
Red, Yellow, Green, Blue
Blue, Green, Red, Yellow
Step-by-step explanation:
Answer:two points collinear to point K is J and L
name for line b is HK with the line with two arrows in both side on the HK
intersection point K
Step-by-step explanation:
Answer:
20
Step-by-step explanation:
Let
= the number of problems Anna completed
<u>Using ratios</u>
5 : 8 =
: 32
![\frac{5}{8} =\frac{x}{32}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B8%7D%20%3D%5Cfrac%7Bx%7D%7B32%7D)
Cross multiply: 5 x 32 =
x 8
160 = 8![x](https://tex.z-dn.net/?f=x)
Divide both sides by 8: 20 = ![x](https://tex.z-dn.net/?f=x)
Therefore, Anna completed 20 problems.
Answer:
21.333 miles per gallon
Step-by-step explanation: