Respuesta :
Answer:
y=-1x+4
Step-by-step explanation:
Point Slope Formula: y=m(x-x1)+y1
y=-1(x-4)+0
y=-1x+4 (y=mx+b)
The equation of straight line is y = -x+4 or x+y = 4.
What is equation of line?
The equation of line is the representation of the set of points, which together form a line in a coordinate system. The general form of the equation of straight line is y = mx + b, where m is the slope of the line and b is the y-intercept and x, y is the point on the line.
For the given situation,
The slope, m = -1
The point (x,y) = (4,0)
The equation of straight line is [tex]y = mx+b[/tex]
Substitute the above values to find the intercept b,
⇒ [tex]0=(-1)(4)+b[/tex]
⇒ [tex]0=-4+b[/tex]
⇒ [tex]b=4[/tex]
Now substitute the slope and intercept values to obtain the equation,
⇒ [tex]y=(-1)x+4[/tex]
⇒ [tex]y=-x+4[/tex] (or)
⇒ [tex]x+y=4[/tex]
Hence we can conclude that the equation of straight line is y = -x+4 or x+y = 4.
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