Finding the Equation of a Line
You have discovered another alien.
Move the sliders to change the slope and y-intercept.
Create an equation to produce the correct line of travel.
slope: 0
6
What is the equation of the line that provides the
correct path to rescue this alien?
A. Y=5
B. Y=x+5
C. Y=-x+5
D. Y=5x

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of the line is Y=-x+5. Thus, the correct option is C.

What is the equation of a line?

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of the line is given by,

y =mx + c

where,

x is the coordinate of the x-axis,

y is the coordinate of the y-axis,

m is the slope of the line, and

c is the y-intercept.

The position of Allien in the coordinate plane is (0,5), the coordinate of the rocket is (5,0). The slope between the two is,

Slope, m = (0 - 5)/(5 - 0) = -5/5 = -1

The equation of the line can be written as,

y = -1x + C

substitute any one of the point in the equation,

0 = -1(5) + C

0 = -5 + C

C = 5

Hence, the equation of the line is Y=-x+5. Thus, the correct option is C.

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