Answer: y = 3x - 5
Step-by-step explanation:
The equation of a straight line can be represented in the slope intercept form as
y = mx + c
Where
c = intercept
m = slope = (change in the value of y in the y axis) / (change in the value of x in the x axis)
The equation of the given line is
y = -1/3x + 2
Comparing with the slope intercept form, slope = - 1/3
If two lines are perpendicular, it means that the slope of one line is the negative reciprocal of the slope of the other line. Therefore, the slope of the line passing through
(2, 1) is 3/1 = 3
To determine the intercept, we would substitute m = 3, x = 2 and y = 1 into y = mx + c. It becomes
1 = 3 × 2 + c = 6 + c
c = 1 - 6 = - 5
The equation becomes
y = 3x - 5
Answer:
Solved in the diagram
Needs to be 20characters long
Answer: B. 35
Step-by-step explanation: The ratio of apples to oranges is 2:5. That means for every 2 apples there will be 5 oranges.
We want to know how many total pieces of fruit will be in the basket where there are 10 apples.
Lets use the ratio to get the total number of fruits when we have 10 apples.
2:5 there is 2 apples when there is 5 oranges;
4:10 there is 4 apples when there is 10 oranges;
6:15 there is 6 apples when there is 15 oranges;
8:20 there is 8 apples when there is 20 oranges;
10:25 there is 10 apples when there is 25 oranges;
Now simply add the total amount of apples and oranges. 10 + 25 = 35 total fruit.
