Find the slope and y-intercept of the line: ax - by = 0

Solution:

Given: Line is ax - by = 0

by = ax

y = (a/b)x + 0 --- (1)

The equation (1) is of the form y = mx + c

Comparing the given line with y = mx + c, we get

Slope = a/b and y-intercept = 0

Aliter

ax - by = 0 is a general form of equation of line Ax+ By + C = 0, whose slope is -A/B.

Thus slope of given line = -[a/(-b)] = a/b

Now to find y-intercept put x = 0 in given equation of line

a(0) - by = 0

⇒ y = 0

Therefore, the slope is a/b and y-intercept is 0.

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Find the slope and y-intercept of the line: ax - by = 0

Summary:

The slope and y-intercept of the line: ax - by = 0 are a/b and 0 respectively.