Which equation represents a line that passes through (–9, –3) and has a slope of –6?
2 answers:
Answer:
The equation of the line required is y=-6x-57.
Step-by-step explanation:
The point-slope form of a line is
Here, m represents the slope of the line.
It is given that a line passes through the point (–9, –3) with a slope of –6.
By substituting m=-6, x₁=-9, and y₁=-3 into the equation above, you get:
Next, subtract 3 from each side.
Therefore, the final equation of the line is y=-6x-57.
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Response:
b + d = 180°, a = d, and a = c
Detailed explanation:
In the diagram, we observe that the only condition for the lines to be parallel is that the angles correspond with their counterparts, for instance, a must equal d. The equation a = c indicates that all angles must be equal for lines m and n to remain parallel. Finally, the equation b + d = 180° confirms that this holds true only if lines m and n are parallel.
