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what is the slope intercept form of m=2 with pints (5, -2)?
What is the standard form with the same given?
10 Answers
- ?Lv 71 month ago
You are given the slope of the line m=2 & a
point (5,-2). So, it is sufficient to determine
the equation of the line by the point-slope
form:
y-(-2)=2(x-5)
=>
y+2=2x-10
=>
y=2x-12
The standard form is
2x-y-12=0
- la consoleLv 71 month ago
The typical equation of a line is: y = mx + y₀ → where m: slope and where y₀: y-intercept
The slope of the line is: m = 2
The equation of the line becomes: y = 2x + y₀
The line passes through (5 ; - 2), so these coordinates verify the equation of the line.
y = 2x + y₀
y₀ = y - 2x → you substitute x and y by the coordinates of the point (5 ; - 2)
y₀ = - 2 - (2 * 5)
y₀ = - 12
The equation of the line is: y = 2x - 12
- L. E. GantLv 71 month ago
slope intercept form: y = mx + c
so y = 2x + c
when x = 5 y = -2
so -2 = 10 + c
==> c = -12
hence y = 2x - 12
standard form: -2x + y = -12
or...
since for a line, the slope is constant:
slope = rise /run
so, from any point (x, y) to a given point like (5, -2)
(y + 2)/(x - 5) = 2
==> y + 2 = 2x - 10
==> y = 2x - 12
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- formengLv 61 month ago
Well, calling your coordinates (x1, y1)
We can make use of the formula often written as follows:
y-y1 = m(x-x1)
Substitute in the givens:
y-(-2)=2(x-5)
y+2 = 2x-10 (Distributive property)
y =2x-12 (Subtract 2 from both sides.)
Slope =2, intercept = -12
- lenpol7Lv 71 month ago
y - - 2 = 2(x - 5)
y + 2 = 2x - 10
y = 2x - 12
Slope ; m = 2
Intercept ; c = -12
- Engr. RonaldLv 71 month ago
y = mx + b
-2 = 2(5) + b
- 2 = 10 + b
b = - 2 - 10
b = - 12
The slope intercept for is y = 2x - 12
the standard form of the equation is 2x - y = 12...
- Wayne DeguManLv 71 month ago
We have an equation of the form y = mx + c
so, -2 = 2(5) + c
Then, c = -12
Hence, y = 2x - 12....slope intercept form
and y - 2x + 12 = 0...standard form
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