The equation of the line passing the points (-2,3),(-3,4) is y = -x + 1 or x+y = 1
A line is the shortest distance between two points. The equation of a line in slope-intercept form is expressed as;
y = mx + b
m is the slope
b is the y-intercept
Given that m=1, b=-3, the required equation will be y = x - 3 or x - y = 3
For the parameter m=1, (-1,2)
y - 2 =1(x+1)
y - 2 = x+1
y =x + 3
Hence the equation of the line for the parameters m=1, (-1,2) is y = x + 3
For the coordinates (-2,3),(-3,4)
Slope = 4-3/-3+2
Slope = -1
For the intercept;
4 =-1(-3) + b
b = 4 - 3
b = 1
Hence the equation of the line passing the points (-2,3),(-3,4) is y = -x + 1 or x+y = 1
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