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Choose the equation and the slope of the line that passes through (3,-2) and is parallel to the x-axis. CHECK ALL THAT APPLY

A. Equation: x= 3
B. Equation: x = -2
C. Slope: undefined
D. Equation: y= 3
E. Slope: 0
F Equation: y= -2

Choose the equation and the slope of the line that passes through (3,-2) and is parallel-example-1
User Gyohza
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Answer:

E. Slope: 0

F. Equation: y = -2

Explanation:

✔️The x-axis is a horizontal line. Horizontal line does not have any rise, therefore, slope (m) of horizontal line is zero.

The line that is parallel to the x-axis would have a slope of 0 as well.

Therefore, slope (m) = 0

✔️Since the line passes through (3, -2) let's find the y-intercept (b) to enable us write the equation of the line.

Substitute (x, y) = (3, -2) and m = 0 into y = mx + b

-2 = 0(3) + b

-2 = 0 + b

b = -2

✅To write the equation of the line that is parallel to the x-axis, substitute m = 0 and b = -2 into y = mx + b:

y = 0(x) + (-2)

y = 0 - 2

y = -2

User Jvarela
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