Answer :
32(-5) + 0 + 160 = 0 is the line in the general form of the line the passing through (−5,0) with the slope 32.
What is slope?
A number that describes a line's direction and steepness is known as the slope or gradient of a line in mathematics. There is no obvious reason why the letter m is used to represent slope, although it first appears in English in O'Brien (1844), who wrote the equation for a straight line as "y = mx + b," and it may also be found in Todhunter (1888), who wrote it as "y = mx + c."
Let us write the given data in slope-intercept form that is
y = m(x) + b
where m = slope of the line
b = y-intercept
So substituting the values we get
0 = 32(-5) + b
-b = -160
b = 160
so we have the slope intercept form
0 = 32(-5) + 160
Converting this to General form
ax + by + c = 0
32(-5) + 0 + 160 = 0
Learn more about Slope
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Translated question
Given the following conditions, determine the equation of the line in its general form Ax+By+C=0.
It passes through (−5,0) and has slope m=32.
