1 3/6 + 4/6 = 1 7/6 = 2 1/6
Step-by-step explanation:
collin is correct and incorrect at the same time. when you solve this, you start with adding like terms.
10x and -11x will be added together to be -1x, after we figure this out, we solve.
-1x+7<-20
-7 -7
-1x<-27
/-1 /-1
x<27
after you solve, you notice that x is less than 27. collin has the correct answer for solving the equation, but if were looking on a more technical note, he would be incorrect because he said the answer is 27, when the answer is actually less than 27. therefore, collin has solved the inequality correctly, but he has said the answer incorrectly
Answer:
y=2x+7
Step-by-step explanation:
When an equation is parallel to another, it shares the same slope.
Our original line is y=2x-8, and it is in slope-intercept form (y=mx+b)
This means that our slope is 2 because m represents the slope.
The slope of our parallel line will then also be 2.
<u>We can begin to plug that into point-slope form which is:</u>
y - y1 = m(x - x1)
This is where (x1, y1) is a point the line intersects, and m is the slope.
<u>Plugging in the slope, we'll have:</u>
y - y1 = 2(x - x1)
We also know it intersects the point (-4, -1)
We can plug this into our equation as well.
y - (-1) = m(x - (-4))
y+1=2(x+4)
<u>Now, we can simplify it into slope-intercept form:</u>
y+1=2(x+4)
Distribute
y+1=2x+8
Subtract 1 from both sides
y=2x+8-1
y=2x+7