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nalin [4]
2 years ago
13

Find g(x), where g(x) is the reflection across the x-axis of f(x)=x.

Mathematics
2 answers:
tatyana61 [14]2 years ago
7 0
The graph of f(x) = x in a straight line passing through the origin (0,0) and  at an angle of 45 degrees to the x axis. It increases from left to right.

Reflection in the x axis  will convert all positive values of f(x) to negative values of f(x)  and vice versa.  

g(x)  = - x     and is a striaght line passing through origin  at angle of 45 degrees but the slope descends from left to right.

Degger [83]2 years ago
6 0
G(x)=-x+0. Any equation reflected across the x axis will have the opposite x value as the original function. Hope this helps!

(f(x) in red, g(x) in blue)

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A line passes through the point ( 18 , − 11 ) and has a slope of − 5 . Write an equation in slope-intercept form for this line.
fenix001 [56]

Answer:

The equation of the line in the slope-intercept form is y = -5x + 79

Step-by-step explanation:

The slope-intercept form of the linear equation is y = m x + b, where

  • m is the slope of the line
  • b is the y-intercept

∵ The slope of the line is -5

∴ m = -5

∵ The form of the equation is y = m x + b

→ Substitute the values of m in the form of the equation

∴ y = -5x + b

→ To find b substitute x and y in the equation by the coordinates

   of any point on the line

∵ The line passes through the point (18, -11)

∴ x = 18 and y = -11

∵ -11 = -5(18) + b

∴ -11 = -90 + b

→ Add 90 to both sides to find b

∵ -11 + 90 = -90 + 90 + b

∴ 79 = b

→ Substitute it in the equation

∴ y = -5x + 79

∴ The equation of the line in the slope-intercept form is y = -5x + 79

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