Write an equation of the line in point-slope form y-y_1=m(x-x_1) from the given point and slope.

Mathematics

1 answer:

valentina_108 [34]2 years ago

8 0

Answer:

The equation in point-slope form is $y-6=2(x-4)$ .

Step-by-step explanation:

We are given the slope and a coordinate pair of a line.

Slope: 2
Coordinate Pair (x, y): (4, 6)

Therefore, we can now label our coordinate pair and substitute our values into the formula. Our formula is:

$\displaystyle y-y_1=m(x-x_1)$

We can label our coordinate pairs with the $(x_1, y_1)$ labeling method.

Therefore, since our two coordinates are:

x = 4
y = 6

We can label 4 as x₁ and 6 as y₁.

Then, we are able to determine <em>m</em>, or our slope.

m = 2

Now, let's set up our equation.

$\displaystyle y - y_1 = m(x - x_1)\\\\y - 6 = 2(x - 4)\\\\y - 6 = 2x - 8\\\\y = 2x - 2$

Therefore, our line is y = 2x - 2. However, the problem asks for it in point-slope form. So, this is exactly what we have in Step 2: y - 6 = 2(x - 4).

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Which statements must be true about the image of ΔMNP after a reflection across Line E G? Select three options. The image will b

masya89 [10]

Answer:

The image will be congruent to ΔMNP.

Line EG will be perpendicular to the line segments connecting the corresponding vertices.

The line segments connecting corresponding vertices will all be parallel to each other.

Step-by-step explanation:

The reflected image will be the mirror image of ΔMNP, so it will be congruent. The lines connecting each vertex to the corresponding vertex will be parallel, and all three lines are perpendicular to EG.