What are the x-intercept and y-intercept of the graph of y=−12x+4 ? Drag and drop your answers into the boxes. x-intercept: y-in
1 answer:
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For new line, slope m=2 and y-intercept c=(-10)
Step-by-step explanation:
<em>Note : Figure given is for reference to understand better.</em>
<em>Where redline is for given line and blueline for new line</em>
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The equation of given line 8x-4y=5 and it is dilated by a scale factor of 8 centered at the origin.
Step 1 : Find two points on given line.
When x=0, y=?
When y=0, x=?
We get points
Step 2: Find distance from centered and scale it.
Now, It is said that line 8x-4y=5 dilated by a scale factor of 8 centered at the origin and point A and point B is on same.
So that point A and point B will also get dilated by a scale factor of 8 centered at the origin or distance of points from origin will be scaled by 8.
For point A:
Distance of point from origin is
unit in x-direction and zero
unit in y-direction.
After scaled by factor of 8, the distance will multipy by 8 and new location is
For point B:
Distance of point from origin is
unit in x-direction and zero unit in y-direction.
After scaled by factor of 8, the distance will multipy by 8 and new location is
Step 3: Find Equation of new line.
Points and
make a new line
The equation of given as
Now, Comparing with the equation of the line : y=mx + c
Where m=slope and c is the y-intercept
We get, Slope m=2 and y-intercept c=(-10)
We can use the sum of an aritmetic sequence
the sum from n=1 to n=r when the first term is a1 and the nth term is an is
first term is 1
last term is 100
there are 100 terms so n=100
so the sum is
S=5050
now you want us to divide by 10
5050/10=505
fun fact, gauss (famous math guy) did this when he was younger, legend has it that he was assigned this as an in class assigment to kill time but gauss found a neat pattern, he noticed that adding the end terms wer giving the same sum, example, 100+1=101, 2+99=101, etc, so he just needed to find al the pairs and add them all up
answer is 505
the result is 505
the sum from n=1 to n=r when the first term is a1 and the nth term is an is
first term is 1
last term is 100
there are 100 terms so n=100
so the sum is
S=5050
now you want us to divide by 10
5050/10=505
fun fact, gauss (famous math guy) did this when he was younger, legend has it that he was assigned this as an in class assigment to kill time but gauss found a neat pattern, he noticed that adding the end terms wer giving the same sum, example, 100+1=101, 2+99=101, etc, so he just needed to find al the pairs and add them all up
answer is 505
the result is 505