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The equation of the line that passes through the point (-6,3) and has a slope of -4/3 is y=(-4/3)x-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 constant.
Given the slope of the line is -4/3, also, the line passes through the point (-6,3). Therefore, when the values are substituted in the general equation of a line to get the value of the constant, we will get,
y = mx + c
3 = (-4/3)(-6)+c
3 = 8 + c
c = -5
Thus, the equation can be written as y=(-4/3)x-5.
Hence, the equation of the line that passes through the point (-6,3) and has a slope of -4/3 is y=(-4/3)x-5.
Learn more about the Equation of a line:
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If you cut it into three pieces, it's easier to understand how to do it, as I show in the picture. when you are done splitting this into three parts you start multiplying. The side bases' digits are 31*23=713 and you need to do that twice, so 713+713=1,426. Next, you find the side-length for, and multiply, the middle base which is 23*19=437. Finally, you add all of that together 1,426+437=1,863.
