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antoniya [11.8K]
2 years ago
12

What are the intercepts of the graph of the equation, y=-7

Mathematics
1 answer:
goldenfox [79]2 years ago
7 0

<u>Answer:</u>

y-7=0 is the same as y=7

The drawing of y=7 is a straight horizontal line intercepting the y axis at 7. So basically it's a horizontal line that passes through (0,7). Its slope is zero since it's a horizontal line.

<u>Step by step explanation:</u>

A line with no x in the equation is a horizontal line. In this case, y=7. All horizontal lines have a slope of 0, since there is never a change in the y coordinate (it is always 7) so the numerator of the fraction used to determine the slope is 0.

The y-intercept is, of course 7 (all y values on the line are 7). There is no x-intercept since it is a horizontal line through the point (0,7) so it will never intersect the x-axis.

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\begin{array}{rcl}m& =& \dfrac{b}{a}\\\\2& =& \dfrac{b}{3}\\\\b& =& \mathbf{6}\end{array}

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\large \boxed{\mathbf{\dfrac{x^{2}}{9} - \dfrac{y^{2}}{36} = 1}}

The attachment below represents your hyperbola with x-intercepts at ±3 and asymptotes with slope ±2.

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