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:
x equals five thirteenths
Step-by-step explanation:
To solve this, we will follow the steps below;
× x + 
= 4 × x
+ = 4x
= 4x
Multiply both-side of the equation by 4
× 4= 4x × 4
On the left-hand side of the equation 4 will cancel-out 4, thus the equation becomes;
3x + 5 = 16x
subtract 3x from both-side of the equation
16x - 3x = 5
13x = 5
Divide both-side of the equation by 13
= 
(On the left-hand side of the equation 13 at the numerator will cancel-out 13 at the denominator while on the right-hand side of the equation 5 will be divided by 13)
x =
x equals five thirteenths
X=13 since the triangle adds up to 180, you know one side is 90 degrees and the other two angles are equal to each other because the opposite sides are equal to each other. the two angles must add up to 90 degrees so you divide by 2 and you get 45 degrees for each angle E and G and you set 3x+6=45. you subtract both sides by 6 and then you have 3x=39 and now divide both sides by 3 and x=13.
Answer:
55,000
Step-by-step explanation:
I already explained it on another problem but I'll show the equation again.
0.74x = 40,700
x = 55,000
Answer:
b = 
Step-by-step explanation:
b + 
= 1 
← change to an improper fraction
b + =
Multiply through by 12 ( the LCM of 3 and 4 ) to clear the fractions
12b + 8 = 15 ( subtract 8 from both sides )
12b = 7 ( divide both sides by 12 )
b =
