A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of the line is y=-(7/5)x + (56/5).
<h3>What is the equation of a line?</h3>
A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,
y =mx + c
where,
x is the coordinate of the x-axis,
y is the coordinate of the y-axis,
m is the slope of the line, and
c is the y-intercept.
Given two points of the line AB, where the coordinates of point A are (8,0) and the coordinates of point B are (3,7). Now, the slope of the equation can be written as,
m = (0-7)/(8-3) = -7/5
Substitute any one of the points in the equation,
y = -(7/5)x + c
7 = -(7/5)3 + c
7 = -21/5 + c
76/5 = c
Hence, the equation of the line is y=-(7/5)x + (56/5).
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