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3 years ago

15 POINTS!

Mathematics

1 answer:

Oliga [24]3 years ago

8 0

Answer:

y = 2x + 1

Step-by-step explanation:

Slope-int form: y = mx + b
m = slope or rise/run
b = y-intercept

Given:

Point (2, 5)
m (slope) = undefined

When a slope is undefined, the line is a vertical line (it rises but doesn't "run").

To find m, use the given point's x-coordinate because the line you're trying to find will run vertically through that point.

(x, y) = (2, 5); x = 2
m = 2

Now the equation becomes y = 2x + b.

To find b, substitute the given point and the found slope into the formula, then solve for b.

5 = 2(2) + b
5 = 4 + b
5 - 4 = b
b = 1

Now that you know what b is, you can substitute b into the equation:

y = 2x + 1

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3 years ago

Reflect triangle ABC over the line y = 2.

Contact [7]

The question is an illustration of transformation, and the coordinates of the image of the triangle are (-3,7), (-2,4) and (0,6)

<h3>How to transform the triangle?</h3>

The coordinates of the triangle are given as:

(-6,-1), (-5,2) and (-3,0)

When the triangle is reflected across the line y = 2 is, the new points are

(-6,5), (-5,2) and (-3,4)

Next, we translate the image of the triangle using the translation

(x,y) -> (x + 3, y +2)

So, we have:

(-6,5) => (-6 + 3, 5 + 2) = (-3,7)

(-5,2) => (-5 + 3, 2 + 2) = (-2,4)

(-3,4) => (-3 + 3, 4 + 2) = (0,6)

Hence, the coordinates of the image of the triangle are (-3,7), (-2,4) and (0,6)