The required equation of the lines are y = 5/3x , y = -3/4x and y = -4x which passes through y axis and points (-3, -5) , (-4, 3) and (1, -4) respectively.
Given that,
To plot four lines. Each line should pass through the point on the y-axis and one of the other four points.
What is a line?
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, (-3, -5) , (-4, 3) and (1, -4)
Three lines are to be plotted on the curve which passes through (-3, -5) , (-4, 3), and (1, -4) and at any point on the y-axis,
So the equation are,
y = 5/3x passes through (-3, -5 ) and 0 on y axis
y = -3/4x passes through (-4, 3) and 0 on y axis
y = -4x passes through (1, -4 ) and 0 on y axis
Thus, the required equation of the lines are y = 5/3x , y = -3/4x and y = -4x which passes through y axis and points (-3, -5) , (-4, 3) and (1, -4) respectively.
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