What is the slope of a line perpendicular to the line whose equation is 3x + y = -9.
1 answer:
Considering the definition of perpendicular line, the slope of a line perpendicular to the line whose equation is 3x+y= -9 is .
A linear equation o line can be expressed in the form y = mx + b.
where
- x and y are coordinates of a point.
- m is the slope.
- b is the ordinate to the origin and represents the coordinate of the point where the line crosses the y axis.
Perpendicular lines are lines that intersect at right angles or 90° angles.
Two nonvertical lines are perpendicular if the slope of one is the negative reciprocal of the slope of the other. In other words, if you multiply the slopes of two perpendicular lines, you get –1.
<h3>Equation of perpendicular line in this case</h3>In this case, the line is 3x+y=-9. Expressed in the form y = mx + b, you get: y= -9 - 3x or, what is the same, y= -3x -9
If you multiply the slopes of two perpendicular lines, you get –1. In this case, the line has a slope of -3. So:
(-3)× slope perpendicular line= -1
slope perpendicular line= (-1)÷ (-3)
<u><em>slope perpendicular line= </em></u>
Finally, the slope of a line perpendicular to the line whose equation is 3x+y= -9 is .
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Answer:
C) There is roughly a 95% chance that the resulting sample proportion will be within 0.04 of the true proportion.
Step-by-step explanation:
Given that 20% of the residents in a certain state support an increase in the property tax.
Sample size = 400
We want the sample proportion to be within 0.04 of the true proportion (i.e., between 0.16 and 0.24)
i.e. margin of error <0.04
Std error of sample =
Critical value = margin of error/ std error =
We know z value for 95% two tailed roughly equals 2.
Hence 95% confidence is right.
C) There is roughly a 95% chance that the resulting sample proportion will be within 0.04 of the true proportion.