To solve for the slope given two lines, use the formula:
(y₂ - y₁)
----------
(x₂ - x₁)
Set one of the points as (x₁, y₁), and the other as (x₂, y₂).
(x₁, y₁) = <span>(0,32)
</span>(x₂, y₂) <span>= (100,212)
plug into corresponding places:
</span>(y₂ - y₁) (212 - 32) (180)
---------- = -------------- = -------
(x₂ - x₁) (100 - 0) (100)
180/100 is your slope
If you want simplified, it will be: 9/5
hope this helps
Lines that are parallel have the same slope, and the given line (y = 6x - 5) has a slope of 6; we are looking for a line with a slope of 6.
To form an equation for a line, you need to know the y-intercept (the point at which the line intersects the y-axis). The first step to finding the y-intercept is to plot the given point. After you've done that, count six units up (this is our slope) and one to the right; plot the point. Lastly, draw the line by connecting the points and see where the line intersects the y-axis.
My graph shows that the line intersects the y-axis at -17. All that's left now is to put our information together into an equation. I'm assuming the problem wants the equation in slope-intercept form; slope-intercept form is y = mx + b where m is the slope and b is the y-intercept, so it would look like this:
y = 6x -17
Hope this helps.
What grade is this i think ive done this before i may be able to help
Hey there! :D
Think of this like a triangle. The dock is 15 feet above ground. It is the side of the triangle. The line connecting the bottom of the dock to the base of the conveyor belt is 40 feet. This is like the base.
The conveyor belt itself is at a diagonal, and should be the hypotenuse.
Use the Pythagorean theorem.
a^2+b^2=c^2
15^2+40^2= c^2
225+1,600= c^2
Add the values together.
1,825= c^2
Find the square root of 1,825.
c= 42.7 (rounded to the nearest tenth)
The conveyor belt is 42.7 feet long.
I hope this helps!
~kaikers
Answer:
b is the answer
Step-by-step explanation:
