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1 answer:
I don’t know if you can even read this but make your graph points, rather than 1,2,3,4 etc. Make them 1/4,2/4,3/4,4/4, and 1/2,2/2,3/2,4/3, etc.. at least until you can plot your points. Make the numbers into mixed fractions or improper fractions whatever they call it. Make it to where the top is bigger than the bottom by multiplying the whole number by the denominator.
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Answer:
Answer 1.
Step-by-step explanation:
The complete question is:
The line whose equation is 3x - 5y = 4 is dilated by a scale factor of 3 centered at the origin. Which statement is correct?
1. The image of the line has the same slope as the pre-image but a different y-intercept.
2. The image of the line has the same y-intercept as the pre-image but a different slope.
3. The image of the line has the same slope and the same y-intercept as the pre-image.
4. The image of the line has a different slope and a different y-intercept from the pre-image.
Recall that a dilation by a scale factor r centered at the origin takes a point (x,y) and maps it to the point (r*x,r*y).
Consider also a line of equation . From this equation, the slope of the line is given by the number
and the y-intercept is given by
.
Consider the given equation 3x-5y =4. If we replace (x,y) with (3x,3y), we get
which is equivalent to
Note that comparing the equations 3x-5y=4 and the values of a and b are equal but the value of c is different. This means that they have the same slope but a different y-intercept.