To determine if the ordered pairs lie on the graph, substitute the x- coordinate of the point into the equation and if the value agrees with the y- coordinate of the point then it lies on the graph

x = - 2 : y = -2(- 2) + 7 = 4 + 7 = 11 ≠ 3 ← (-2,3) not on graph

x = - 1 : y = - 2(- 1) + 7 = 2 + 7 = 9 ← (- 1, 9) lies on graph

x = 3 : y = -2(3) + 7 = - 6 + 7 = 1 ← (3, 1) lies on graph

x = 4 : y = - 2(4) + 7 = - 8 + 7 = - 1 ← (4, - 1) lies on graph

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3 years ago

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Create triangle A’B’C by reflecting triangle ABC over the y-axis on the coordinate plane. What are the new coordinates of the ve

pickupchik [31]

Answer:

Step-by-step explanation:

When talking about reflection, we usually mean reflecting across a line, or axis. Reflecting a shape means looking at the mirror image on the other side of the axis. Consider the point (x,y), if you reflect this point across the y-axis you should multiply the x-coordinate by -1, so you get:

$(x,y)\rightarrow(-x,y)$

For triangle ABC we have:

$A(-4,2) \\ \\ B(-1,3) \\ \\ C(-1,-4)$

Therefore, the reflecting points are:

$A'(4,2) \\ \\ B(1,3) \\ \\ C(1,-4)$

Both the original triangle and the reflected one are shown below.

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3 years ago