Answer:
y=-x+3
Step-by-step explanation:
The y-intercept is at 3 and you can see it has a slope of -1
The required slope-intercept for of the equation of the line is y = -x +3.
A line can be defined by the shortest distance between two points is called a line. The standard equation of the line is y = mx +c where c = intercept and m, = slope of the equation.
Here,
The standard slope-intercept form of the line,
y = mx + c
2 points on the line (0, 3) and (3, 0)
So the slope of the equation can be given as
m = (0 - 3) / (3 - 0)
m = -3 /3
m = -1
Now put m in the standard equation of the line y =mx + c
y = -1x + c
Now put point (0, 3) in the above equation to get c
3 = 0 + c
c = 3
So the slope-intercept form of the equation can be given as,
y = - x +3
Thus, the required slope-intercept form of the equation of the line is y = -x +3.
Learn more about lines here:
brainly.com/question/2696693
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