There are several ways to do this.
I'll show you two methods.
1) Pick two points on the line and use the slope formula.
Look for two points that are easy to read. It is best if the points are on grid line intersections. For example, you can see points (-4, -1) and (0, -2) are easy to read.
Now we use the slope formula.
slope = m = (y2 - y1)/(x2 - x1)
Call one point (x1, y1), and call the other point (x2, y2).
Plug in the x1, x2, y1, y2 values in the formula and simplify the fraction.
Let's call point (-4, -1) point (x1, y1).
Then x1 = -4, and y1 = -1.
Let's call point (0, -2) point (x2, y2).
Then x2 = 0, and y2 = -2.
Plug in values into the formula:
m = (y2 - y1)/(x2 - x1) = (-2 - (-1))/(0 - (-4)) = (-2 + 1)/(0 + 4) = -1/4
The slope is -1/4
2) Pick two points on the graph and use rise over run.
The slope is equal to the rise divided by the run.
Run is how much you go up or down.
Rise is how much you go right or left.
Pick two easy to read points.
We can use the same points we used above, (-4, -1) and (-0, -2).
Start at point (0, -2).
How far up or down do you need to go to get to point (-4, -1)?
Answer: 1 unit up, or +1.
The rise is +1.
Now that we went up 1, how far do you go left or right top go to point (-4, -1)?
Answer: 4 units to the left. Going left is negative, so the run is -4.
Slope = rise/run = +1/-4 = -1/4
As you can see we got the same slope using both methods.
I believe the answer is b
<h3><u>Question:</u></h3>
Ishaan is 2 times as old as Christopher. 35 years ago, Ishaan was 7 times as old as Christopher. How old is Christoper now?
<h3><u>Answer:</u></h3>
The present age of Christoper is 42 years old
<h3><u>Solution:</u></h3>
Given that Ishaan is 2 times as old as Christoper
Let the present age of Christoper be "x"
Then, Present age of Ishaan = 2 times as old as Christoper
present age of Ishaan = 2x
<em><u>35 years ago, Ishaan was 7 times as old as Christopher</u></em>
Age of Ishaan 35 years ago = Present age of Ishaan - 35
Age of Ishaan 35 years ago = 2x - 35
Similarly,
Age of christoper 35 years ago = Present age of christoper - 35
Age of christoper 35 years ago = x - 35
From given statement, 35 years ago, Ishaan was 7 times as old as Christopher
Age of Ishaan 35 years ago = 7 times the age of Christoper 35 years ago
(2x - 35) = 7(x - 35)
<em><u>Solve the above equation for "x"</u></em>
2x - 35 = 7x - 245
2x - 7x = -245 + 35
-5x = -210
<h3>x = 42</h3>
Thus present age of Christoper is 42 years old
Answer:
x=30
Step-by-step explanation:
it is an equilateral triangle, so all angles are the same. each angle is 60 degrees. 60/2 is 30, so 30 degrees is the answer.
Answer:
3/10
Step-by-step explanation:there are 10 marbles all together three blue ones
