Answer:
The answer is the second option
(2,3), (-1,3), (-1,6)
Step-by-step explanation:
Answer:
The slope-intercept form is y = 7x + 3
Step-by-step explanation:
Remember: Perpendicular lines slope are negative reciprocals of each other.
y = -1/7x + 4.
Now you know the slope of the given line is -1/7.
So the slope of the perp line is 7/1 = 7 .
Use the given point (-1, -4) and the perp slope = 7 into y =mx + b and solve for "b".
y = mx + b
-4 = 7(-1) + b
-4 = -7 + b
-4 + 7 = b
3 = b
The slope-intercept form is y = 7x + 3
In order to find what 10% of a day is:
A day is 24 hours long.
Divide 24 by 100, then multiply the answer by 10.
24/100=0.24
0.24*10=2.4
So, 10% of the day is 2.4 hours.
2 hours and 30 minutes can be written as a decimal as 2.5.
So, 2 hours and 30 minutes is slightly more than 10% of the day.
Answer:
Step-by-step explanation:
Slope-intercept form is y = mx + b.
You are given 8x + 3y = -9, so to convert this into slope-intercept form you would solve for y and rearrange the terms (if needed) to follow the format of mx + b.
Start by subtracting 8x from both sides of the equation.
3y = -9 - 8x
Divide both sides by 3 to isolate y.
y = -3 - 8/3x
Rearrange the terms so the "x" variable is first.
y = -8/3x - 3
Hey there! I'm happy to help!
Let's think of this as the equation y=mx+b, where m represents the slope and b equals the y-intercept.
The y-intercept is where the line hits the y-axis. As we can see, it hits it at the y-value of zero. Therefore, our equation is just left as y=mx now because b is 0.
We want to find the slope now. This is known as the rise/run, or the y/x. This is basically saying how far up it goes for every one step to the right. If we go to the x-value of one, we see that the y-value is at a little bit less than one. We want to keep on moving to the right until the y-value is at a nice integer value (number without fractions).
If we keep on moving to the right, we see that at the x-value of 3, the y is at 2. This means that the slope is 2/3. And it makes sense! When we were looking at that value of 1, the y-value was less than one and looked like it was at about 2/3, or 0.666....
This will apply to all points on the line. Our y will always be 2/3 of what x is.
Therefore, the equation is y=2/3x
I hope that this helps! Have a wonderful day!
