Hello there! So, y = mx + b is in slope-intercept form, where m represents the slope, b represents the y-intercept, and y and x remain unfilled. First off, let's solve for the slope. The formula for slope is y2 - y1 / x2 - x1, where you subtract the first x and y coordinates from the second x and y coordinates. So it would be formed like this:
9 - 4 / 6 - (-4)
Let's subtract. 9 - 4 is 5. 6 - (-4) is 10. 5/10 is 1/2 in simplest form. The slope for this equation is 1/2. Now, let's find the y-intercept. We will find that by plugging one of the points into the equation and solving for b. The x and y coordinates will be filled in by that coordinate. Let's use (-4, 4) for this problem. We will also plug in the slope. In this case, the problem will look like this:
4 = (1/2)(-4) + b
Now, let's multiply 1/2 and -4 to get -2. Now, to get b by itself, subtract 2 to both sides to isolate the b. -2 + 2 cancels out. 4 + 2 is 6. b = 6. There. The equation of the line in slope-intercept form is y = 1/2x + 6.
Answer:
32
Step-by-step explanation:
The three consecutive numbers are: 32, 33, 34
They add up to 99
Answer:
Note that it is not a perfectly elastic result so it is <em>irrational</em><em> </em>
Draw a graph of the temperatures; if the points form a straight line, then the temperatures vary directly , Option B is the correct answer.
<h3>What is Direct Variation ?</h3>
When a quantity of one variable is increased and the value of the other also increases then they are said to be in direct variation.
For the data to be in direct variation
Draw a graph of the temperatures; if the points form a straight line, then the temperatures vary directly.
The points in any linear equation can only fluctuate directly, therefore all points will lie on the same line.
Option B is the correct answer.
To know more about Direct Variation
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