Determine whether the dilation from figure a to figure is reduction or an enlargement

a

step-by-step explanation:

given the 2 equations

- x + y = - 2 → (1)

2x - 3y = 4 → (2)

multiplying (1) by 2 and adding to (2) will eliminate the x- term

- 2x + 2y = - 4 → (3)

add (2) and (3) term by term

(2x - 2x) + (- 3y + 2y) = (4 - 4), simplifying gives

- y = 0 ⇒ y = 0

substitute y = 0 in either of the 2 equations for corresponding value of x

substituting in (2) gives

2x = 4 ( divide both sides by 2 )

x = 2

solution is (2, 0 ) → a

this equation is in point-slope form.

where,

using this equation you can gather a point and the slope, which gives you enough information to draw a line. transform the equation to standard form to start.

the equation is now in standard form, we have a point, as well as the slope:

point: (0, -6)

slope: -2

plot (0,-6), then simply rise/run with the provided slope of -2, once you feel you have a comfortable amount of points - draw a line.