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A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
Find the slope of the line whose equation is px - qy = r + 1.
Solution:
Given, the equation of the line is px - qy = r + 1
We have to find the slope of the line.
We can find the slope of the line in two methods.
1) slope = -\(\frac{coefficient\, of\, x}{coefficient\: of\: y}\)
From the equation px - qy = r + 1
Coefficient of x = p
Coefficient of y = -q
So, slope = -(p/-q)
Slope = p/q
2) The equation of the line in slope-intercept form is given by y = mx + c
Where, m is the slope.
Now, converting the given equation in slope-intercept form,
qy = px - (r + 1)
Dividing by q on both sides,
y = (p/q)x - (r+1)/q
Now, slope, m = p/q
Therefore, the slope of the line is p/q.
Find the slope of the line whose equation is px - qy = r + 1.
Summary:
The slope of the line that has the equation px - qy = r + 1 is p/q
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