Answer:
b. slope: -5; y-intercept: 7
Step-by-step explanation:
We are given the equation:
y + 5x = 7
To find the slope and y-intercept of the line, it would be helpful to get the equation into slope-intercept form. The slope-intercept form of a line is:
y = mx + b
where m is the slope and b is the y-intercept.
Lets get the given equation into slope-intercept form.
y + 5x = 7
Subtract 5x from both sides.
y = -5x + 7
Now we have the equation in slope-intercept form. By looking at the equation, we can see that the slope is -5 and that the y-intercept is 7.
The correct answer choice would be b.
I hope you find my answer and explanation to be helpful. Happy studying.
Answer:
Step-by-step explanation:
The segment joining an original point with its rotated image forms a chord of the circle of rotation containing those two points. The center of the circle is the center of rotation.
This means you can find the center of rotation by considering the perpendicular bisectors of the segments joining points with their images. Here, the only proposed center that is anywhere near the perpendicular bisector of DE is point M.
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Segment AD is perpendicular to corresponding segment FE, so the angle of rotation is 90°. (We don't know which way (CW or CCW) unless we make an assumption about which is the original figure.)
38 (average) - 29.777 (this year) = 8.223 inches less this year than the average year.