The line of reflection is the line that maps one heart into the other heart. Such that the line must lie exactly between the two shapes, and divide the plane into two equal images.

By looking at the given image, we can see that the line of reflection that maps one heart into the other is the line M.

If you want to learn more about reflections:

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8 0

2 years ago

What is the equation of a line that passes through the point (2, 4) and has a y-intercept at y = -10?

Gemiola [76]

Answer:

The equation of the line is y = 7x - 10

Step-by-step explanation:

* Lets revise the form of the equation

- The form of the equation of a line is y = mx + c , where m is the slope

of the line and c is the y-intercept

- The y-intercept means the line intersect the y-axis at point (0 , c)

- The slope of the line which passes through points (x1 , y1) , (x2 , y2)

is $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

* Lets solve the problem

∵ The y-intercept is y = -10

∴ The line intersects the y-axis at point (0 , -10)

∵ The line passes through the points (2 , 4) and (0 , -10)

- Lets find the slope of the line using the rule of the slope above

∵ $m=\frac{-10-4}{0-2}=\frac{-14}{-2}=7$

∴ The slope of the line is 7

∵ c is the y-intercept

∵ The y-intercept is y = -10

∴ c = -10

∵ y = mx + c

∴ y = 7x + -10

∴ y = 7x - 10

* The equation of the line is y = 7x - 10

8 0

3 years ago