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The equation of line L is 3x - 8y + 20 = 0.
Find the gradient of line L.

1 Answer

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Answer:

The slope or gradient of the line L will be: m = 3/8

Explanation

We know that the slope-intercept form of the line equation


y = mx+b

where m is the slope or gradient and b is the y-intercept

Given the equation of the line


3x - 8y + 20 = 0

Let us solve for 'y' to write the equation in the slope-intercept form


3x - 8y + 20 = 0

Add -3x to both sides


3x-8y+20+\left(-3x\right)=0+\left(-3x\right)

simplify


-8y+20=-3x

subtract 20 from both sides


-8y+20-20=-3x-20

simplify


-8y=-3x-20

Divide both sides by -8.


(-8y)/(-8)=(-3x-20)/(-8)


y=(3)/(8)x+(5)/(2)

Thus, comparing with the slope-intercept form


y = mx+b


m\:=\:(3)/(8)

Thus, the slope or gradient of the line L will be: m = 3/8

User Olly Hicks
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