The equation of a line passing through point (4, -1) and perpendicular to the line whose equation is 2x - y - 7 = 0 is y = -1/2x + 1
<h3>Equation of a line</h3>
A line is the shortest distance between two points. The equation of a line in point-slope form and perpendicular to a line is given as;
y - y1 = -1/m(x-x1)
where
m is the slope
(x1, y1) is the intercept
Given the following
Point = (4, -1)
Line: 2x-y - 7 = 0
Determine the slope
-y = -2x + 7
y= 2x - 7
Slope = 2
Substitute
y+1 = -1/2(x -4)
Write in slope-intercept form
2(y + 1) = -(x - 4)
2y+2 = -x + 4
2y = -x + 2
y = -1/2 + 1
Hence the equation of a line passing through point (4, -1) and perpendicular to the line whose equation is 2x - y - 7 = 0 is y = -1/2x + 1
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Answer:
16 units
Step-by-step explanation:
You would take the area of the door (which would be 8 times 3) and subtract the area of the poster (which is 4 times 2).
Next, you would set up your equation: 24-8 which is 16.
Hope this helps! :)
Answer:
see below
Step-by-step explanation:
x ≤ 3
There is a closed circle at 3 because of the equals sign
the lines goes to the left since it is less than
x < 3
There is a open circle at 3 because there is no equals sign
the lines goes to the left since it is less than
(Change)/(original) *100
.05/2.87 *100
1.7%
