Which of the following lines is perpendicular to y=-2x+3?
1 answer:
Answer:
See explanation
Step-by-step explanation:
The given line has equation:
Compare to the general slope-intercept form: y=mx+c
This implies that m=-2 is the slope of the given line.
The slope of all lines perpendicular to the given line is the negative reciprocal of -2.
This implies that the slope of any line perpendicular to y=-2x+3 is
Now look through the options and choose the equation that is of the form:
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9514 1404 393
Answer:
(a) (-2, 4)
Step-by-step explanation:
The orthocenter is the point of concurrence of the altitudes of the triangle.
A plot of the triangle vertices shows the triangle to be acute. That means the orthocenter is inside. This eliminates choices B, C, D, which are all points outside the triangle.
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Conveniently, side LM is horizontal. This means the orthocenter will have the x-coordinate of the vertical line through N, which is -2. Only one answer choice has an x-coordinate of -2:
a (-2, 4)
