Help me out please and thank you
1 answer:
First you need to find the slope of the line containing those 2 points using the slope formula. Filling in with our info we have 
. So the slope is -1.5. Now we need to find out the rest of the info, mainly the y-intercept. The line appears to go through the y axis at (0, 0), but let's make sure. We will use the slope we just found and one of our points to solve for the y-intercept. I picked point (4, -6). Filling in to solve for b we get -6 = (-1.5)(4) + b. Doing the multiplication on the right gives us -6=-6 + b. Add 6 to both sides to get that b = 0. Now let's use that and the slope we found to rewrite the equation in slope-intercept form. y = -1.5x + 0 or y = -1.5x and there you go!
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According to the Subtraction property of equality, the equality of an expression holds true if the same finite number is subtracted from both sides of the equality,
Now, observe the given figure carefully.
We will use the above-mentioned property to get rid of the common shapes that exist on both sides. Here, the balance represents equality between both sides.
Consider that the pans are initially balanced. And both sides contain a red cube. So we can subtract or eliminate the red cube and the equality will still hold true.
Similarly, we can eliminate the blue sphere.
At this point, we have the purple pyramid and a yellow diamond on the left side, and on the right side, we have 4 pieces of yellow diamond.
Observe that one piece of yellow diamond is common to both sides, so it can also be eliminated from both sides.
After this, the left side will contain only the purple pyramid while the right side contains 3 yellow diamonds. Since we are always using the subtraction property to eliminate the shapes, the balance must be maintained throughout the process.
At last, there must exist a balance between the left side containing the purple pyramid only, and the right side containing 3 yellow diamonds.
Therefore, it can be concluded that one purple pyramid is equal to 3 yellow diamonds.