Good evening ,
Answer:
In this case the dilation is a reduction (as you can see the image triangle is smaller than the original triangle)
and also the scale factor = OA’/OA = 2/6 = 1/3
since -1 < 1/3 < 1 then it’s a reduction.
Step-by-step explanation:
Look at the photo below for more details (notice OA’ and OA).
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:)
So we are given two points that the line crosses, the origin and (9, -3), we can calculate the slope m of the line with these data, dividing the y segment by the x segment:
m = (-3 - 0)/(9 - 0) = -3/9
m = -1/3
then we can use the point slope line equation to find the line equation, lets use the point origin (0,0) to do so:
y - y1 = m(x - x1), where x1, y1 are the coordinates of a point that the line crosses:
y - 0 = (-1/3)(x - 0)
y = <span>(-1/3)x
so this is the equation of the line, slope -1/3 and y intercept 0</span>
So the final statement would be:
Slope of the line is -7
Step-by-step explanation:
- Step 1: Find slope of the line using formula, m = (y2 - y1)/(x2 - x1). Here, x1 = 7, y1 = -41, x2 = -15 and y2 = 113
⇒ m = (113 - -41)/(-15 - 7)
= 154/-22 = -7
