1st one is the y Intercept is 5. get y by itself 12y=-6x+60 divide by 12.
2nd slope is -3
Explanation:
When the points are plotted on a graph, it is easy to see that the slope of AC is -2 and the slope of BC is 1/2. These slope values have a product of -1, so the corresponding line segments are perpendicular to each other.
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If you have studied vectors, you can find the dot product of AC with BC:
AC = (-5, 3) -(-2, -3) = (-3, 6)
BC = (6, 1) -(-2, -3) = (8, 4)
The dot product is ...
(-3, 6)·(8, 4) = (-3)(8) + (6)(4) = -24+24 = 0
When the dot product of vectors is zero, they are perpendicular.
The area of a Triangle is 1/2BH (B=Base length, H=Height)
When looking at the points, we can figure out the following:
The distance between the two points at the base is 8 (to get from -4 to 4 you must add 8) and the height is 4 (to get from -4 to 0 as well as 0 to 4, the distance is 4).
Now we plug in our values:
Area= 1/2(8)(4)
=1/2(32)
=16 Units squared
Therefore, your answer is 16 units squared.
I hope this Helps!
-Sinnamin
The table indicates a y-value of 115 when x = 0. That corresponds to the y-intercpt of the equation.
The table values increase by 64 for each increase of 2 in x-value. That corresponds to the slope (32) of the equation.
Yes, the equation and the table represent the same function.
Okay so all you are doing is filling out the char to do this you fine the increasing rate or the pattern. so 2*3=6 5*3=15 so the pattern is that you are multiplying every input by 3 so 0*3=0
1*3=3
3*3=9
4*3=12
then to fine the differences you just simply write how much you increased or decreased so every difference for this chart will be +3 hope this helped you have an amazing day!!!!
