The graph shows quadrilateral fghi and the location of vertex f' after a dilation with respect to the origin. what are the coordinates of g' ?

a. (2, 3)
b. (0, 2)
c. (3, 2)
d. (2, 0)

b. (0,2)

Step-by-step explanation:

The distance between origin and F is double than between origin and F'. With that in mind, we can deduce that the distance between origin and G must be double than between origin and G'. If the distance between origin and G is 4, then the distance between origin and G' has to be 2. Given that point G is on the y-axis, G' must be on the y-axis too. So, point G' is (0,2)

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step-by-step explanation:

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form