The horizontal graph parallel to the x-axis is described by equation:
y = b, where b is the y-intercept at (0,y), and slope (m) = 0.
1) The equation 5 units above the point (2,2):
To find the y-intercept given the points, when y=2:
y- intercept (b) = 2 + 5
y - intercept (b) = 7
Since the equation for horizontal graph is y = b, therefore the equation 5 units above point (2,2) is:
y = 7
2.) 5 units below the point (2,2):
To find the y-intercept given the points, when y=2:
y-intercept (b) = 2 - 5
y - intercept (b) = -3
Since the equation for the horizontal graph is y = b, therefore, the equation 5 units below point (2,2) is:
y = -3
ANSWER:
1) y = 7
m (slope) = 0
Domain = {x / x is an element of real numbers}
Interval notation: (⁻∞ , ⁺∞)
Range = {y / y = 7}
= {7}
2) y = -3
m (slope) = 0
Domain = {x / x is an element of real numbers}
Interval notation: (⁻∞, ⁺∞)
Range = {y / y= -3}
= {3}
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