The slope is 0.
The formula to find the slope is y2-y1 over x2-x1. If you plug in your numbers, you should have 5-5 over 9-10. Subtract this and you will get your slope!
First, simplify the equation to slope intercept form to find the slope;
2x+3y=4
3y=4-2x
y=(-2x+4)/3
The slopes of parallel lines are the same, therefore, the slope of the second line would also be -2/3
Write out the slope intercept form with the information we know and input the coordinates of the point;
y=mx+c
-4=(-2/3)(1)+c
-4+(2/3)=c
(-12/3)+(2/3)=c
-10/3=c
Therefore, the final equation is y=-2/3x-10/3
Hope I helped :)
Answer: The correct option is
(A) The scale factor is 0.8 and the coordinates of point B" are (–3.2, –4.8).
Step-by-step explanation: Given that the segment AB is being dilated to A''B'' with the center at the origin. The image of A, point A" has coordinates of (3.2, 6.4).
We are to find the scale factor of the dilation and the co-ordinates of the point B''.
From the given graph, we note that
the co-ordinates of point A are (4, 8).
Now, If S is the scale factor of dilation, then we must have
So, the scale factor is 0.8.
Now, the co-ordinates of point B are (-4, -6). So, the co-ordinates of B'' will be
Thus, the correct option is
(A) The scale factor is 0.8 and the coordinates of point B" are (–3.2, –4.8).
There are 60 cubic units in the provided three-dimensional figure, and the units are mm³, cm³, and m³.
<h3>What is volume?</h3>
It is defined as a three-dimensional space enclosed by an object or thing.
We have a three-dimensional shape shown in the picture with dimensions.
The total cubic units = 4×3×5 = 60 cubic cm
We can measure the volume with units of mm³, cm³, m³, km³
We can draw a relation between them:
mm³<cm³ <m³< km³
For the first picture, the unit mm³ would be best for measuring the volume.
For the second picture, the unit cm³ would be best for measuring the volume.
For the third picture, the unit m³ would be best for measuring the volume.
Thus, there are 60 cubic units in the provided three-dimensional figure, and the units are mm³, cm³, and m³.
Learn more about the volume here:
brainly.com/question/16788902
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