Hey there! :)
To find the equation of a line that passes through (2, -4) & (5, 13), we must first find the slope.
To find the slope, we must use the slope equation, which is : m = (y₂-y₁) / (x₂-x₁)
So, let's plug everything in!
m = (y₂ - y₁) / (x₂ - x₁)
m = (13 - (-4)) / (5 - 2)
Simplify.
m = (13 + 4) / 3
Simplify.
m = 17/3
So, our slope is 17/3!
Now, let's find the equation of the line using slope-intercept form.
Remember that slope-intercept form is : y=mx+b where m=slope, b=y-intercept.
Since we already have the slope, all we need to do is find the y-intercept.
To find the y-intercept, let's plug all of our known variables into y-intercept form, using the points (2, 4) and the slope 17/3.
y = mx + b
(4) = (17/3)(2) + b
Simplify.
4 = 24/3 + b
Simplify.
4 = 8 + b
Subtract 8 from both sides.
4 - 8 = b
Simplify.
-4 = b
So, our y-intercept is b!
Using our known variables (slope, y-intercept), we can very easily plug it into a new slope-intercept equation!
y = mx + b
So, since our slope is 17/3 and our y-intercept is -4, let's plug and chug!
y = 17/3x - 4 → our final answer
~Hope I helped!~
Answer:
Step-by-step explanation:
They both (36 and 45) go into 9. Divide them both by 9.
Answer: 0.09 hours
Step-by-step explanation:
You are owed $1.76 in overtime pay.
The hourly rate for overtime is $19.50 per hour.
To find the number of hours owed, you need to divide the amount owed by the amount owed per hour.
The number of hours you are owed is therefore:
= Amount owed / Amount owed per hour
= 1.76 / 19.50
= 0.09 hours
( x approaches 2 from the left )
( x approaches 2 from the right )
9514 1404 393
Answer:
step 2; misapplication of the distributive property
Step-by-step explanation:
To eliminate parentheses, the distributive property of multiplication over addition tells you the outside factor is applied to each of the terms inside. The second step should be ...
Step 2: (0.5)(4) +(0.5)(1.2x) +(0.5)(-3.1) = 2 +0.6x -1.55
Shane's mistake was that he added the factor to the first term, subtracted the factor from the coefficient of the second term, and added the factor to the third term. He was inconsistent even in his misapplication of the distributive property.
