Answer:
Step-by-step explanation:
From the figure attached,
Point B has been dilated to form point B'.
B(3, 1) → B'(6, 2)
→ B'[(2 × 3), (2 × 1)]
Since rule for the dilation of a point (x, y) by a factor of k is,
B(x, y) → B'(kx, ky)
By comparing the coordinates k = 2 is the scale factor by which the point B has been dilated about the origin.
Therefore, other vertices of the quadrilateral will be,
A(-2, 3) → A'(-4, 6)
C(1, -1) → C'(2, -2)
D(-3, -2) → D'(-6, -4)
The required equation of line parallel to given line is:
Step-by-step explanation:
Given equation of line is:
As the equation of line is in slope-intercept form, the co-efficient of x s the slope
Let m1 be the slope of given line
m1= 5/6
Let m2 be the slope of new line
As the slopes of two parllel lines are equal, so
m1 = m2
m2 = 5/6
The slope intercept form is:
Put m2 = 5/6 in equation
Putting the point in the equation
Putting the value of b, we get
Hence,
The required equation of line parallel to given line is:
Keywords: Slope intercept form, equation of line
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