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:
The regular polygon is a nonagon
Step-by-step explanation:
<u><em>The correct question is</em></u>
What is the name of the regular polygon that each interior angle measures 140ﾟ?
we know that
The formula to find the sum of the interior angles in a regular polygon is equal to
where
n is the number of sides of the regular polygon
a is the measure of each interior angle of the regular polygon
we have
substitute in the formula and solve for n
so
The regular polygon has 9 sides
therefore
The regular polygon is a nonagon
Answer:
y = (2/3)x + 8
Step-by-step explanation:
Parallel lines have the same slope. In the given equation, the slope is 2/3 so the slope of the parallel line will also be 2/3.
y = (2/3)x + ?
Plug in (-3, 6) for (x, y) in the equation.
6 = (2/3)(-3) + ?
6 = -2 + ?
? = 8
Final equation: y = (2/3)x + 8
Answer:
19.4
Step-by-step explanation:
50% is one half
so 9.7 is half of ....
Then .... is twice 9.7
.... = 2 × 9.7 = 19.4
1,000 x 0.04 = 40
250+ 40 = 290
That week she made $290
