The equation of the lines is,
1. (4, -1); m = 3 : - y = 3x - 13
2. (-8, 0); m = -4 :- y = -4x - 24
3. (-6, -10); m = 1/6 :- y = -1/6x - 9
<h3>What is an equation of the line?</h3>
An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
The general form of the equation of the line:-
y = mx + c
m = slope
c = y-intercept
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
The equation of the lines will be,
y = mx + c
y = 3x + c
-1 = 4 x 3 + c
c = -13
y = 3x - 13
y = mx + c
y = -4x + c
0 = -4 x -8 + c
c = -24
y = -x -24
y = mx + c
y = 1/6x + c
-10 = -1 + c
c = -9
y = -1/6x - 9
Therefore, the equation of the lines is,y = 3x - 13 y = -4x - 24 and y = -1/6x - 9.
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