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:
Infinite Solutions.
Step-by-step explanation:
Subtract m from both sides:
Both sides are equal.
This means that the value of m does not affect the end result of 7 = 7, which is true. Thus, there are infinite solutions as any value of m will still make the equation true.
Answer:
The overall average is $148,000
Step-by-step explanation:
120,000 740,00 divided by 5 is 148,000
120,000
120,000
190,000
+ 190,000
-------------
740,000
Answer:
-4.5 is less than 3
-12/5 is less than 2
-3, -1.5, -1, 0, 2, 2.75, 5, 5.2
-3/2 = -1.5
11/4 = 2.75
