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
Learn more on equation of a line here: brainly.com/question/13763238
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Answer:
48 ways
Step-by-step explanation:
Let me take a guess
S₁_₁₅ = (1+15)*7 + 8 = 120
There are 48 combinations of distinct digits from 1 to 15 to make 20
120-20=100
So every 20 has a corresponding 100
I wish I got it right, otherwise report it.
In a triangle all of the angles always add up to 180, so let's set up an equation.
79 + 37 + y = 180
Simplify
116 + y = 180
Subtract 116 from both sides.
y = 64
The value of y is 64.
Hopefully this helps! If you have any more questions or don't understand, please comment or DM me, and I'll get back to you ASAP. :)
