Respuesta :
x-3y=12
3y=x-12
y=1/3x-4
parallel means same gradient, which is 1/3.
Use formula y-y1=m(x-x1), m=gradient and y1 is y coordinate of point and x1 is x coordinate of point.
y-4=1/3[x-(-3)]
y-4=x/3+1
y=x/3+5
3y=x-12
y=1/3x-4
parallel means same gradient, which is 1/3.
Use formula y-y1=m(x-x1), m=gradient and y1 is y coordinate of point and x1 is x coordinate of point.
y-4=1/3[x-(-3)]
y-4=x/3+1
y=x/3+5
The equation of the line parallel to x-3y=-12 that passes through (-3,4) is y=x/3+5.
What is the standard equation of a line?
The standard equation of a line is given by
y = mx+c
Here m is the slope and c is the y intercept
The slope can be determined by
m = (y₂ -y₁)/(x₂ -x₁)
The line function equation is
x - 3y = -12
y = (1/3)x +4
When a line is parallel to another line, the slope of the lines is same.
So, the slope of the line parallel to the line x - 3y = -12 is 1/3
y = (1/3)x +c
As the line passes through the point (-3,4)
4 = (1/3) * (-3) +c
4 = -1 +c
c = 5
The equation is
y=x/3+5
To known more about standard equation of a line
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