The slope of the line is 2/3
Step-by-step explanation:
The slope of a line is the rate of change of the dependent variable (y) with respect to the rate of change of the independent variable (x). Mathematically,
where
is the increment of the y-variable
is the increment of the x-variable
Given two points of coordinates and belonging to the line, the slope of the line can be calculated as
In this problem, the following two points belong to the line:
(3,3)
(-3,-1)
Therefore, the slope of the line is:
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<span>Area of parallelograms
</span><span>We can figure out a formula for the area of a parallelogram by dissecting the parallelogram and rearranging the parts to make a rectangle. Because the parallelogram and rectangle are composed of the same parts, they necessarily have the same area. (See the definition of area for more about why those areas are the same.)
</span>
We can see that they also<span> have exactly the same base length (blue) and exactly the same height (green). Because </span><span>base x height</span><span> gives the area of the rectangle, we can use the same measurements on the parallelogram to compute its area: </span><span>base x height</span><span>. (As before, "height" is measured perpendicular to the base, and "base" is whichever side you chose first. See parallelogram.)
</span>
Area of triangle
Knowing how to find the area of a parallelogram helps us find the area of a triangle.
Dissecting the triangle
We can dissect the triangle into two parts -- one of them a triangle, and one of them a trapezoid -- by slicing it parallel to the base. If we cut the height exactly in half with that slice, the two parts fit together to make a parallelogram with the same base but half the height.
So <span>base x half-height</span><span> gives the area of the triangle. A similar dissection shows </span><span>half-base x height</span><span>. Either of them reduces to 1/2 </span>bh.
The parallelogram's area is base x height, but that is twice the area of the triangle, so the triangle's area is <span>1/2 of base x height</span>, as we saw with the dissection method.
(As always, pick a "base" and measure the height perpendicular to that base, from the base to the opposite vertex.)
hope this helped!
Answer:are you trying to find the variable
Step-by-step explanation:
Answer: y=1/3x+11/3
Step-by-step explanation:
Since we given the slope, we can write a slope-intercept form equation.
y=1/3x+b
Since we we don't have our y-intercept, we can plug in the coordinate we are given to find the y-intercept.
6=1/3(7)+b
6=7/3+b
11/3=b
Now that we have our y-intercept, we can complete our equation.
y=1/3x+11/3
Answer:d
Step-by-step explanation:4x+8=3x-6
4x=3x-14
x= -14