Here we are required to rewrite the equation ax-by=c, where a,b,c>0 In the slope-intercept form.
The slope-intercept form of ax-by=c is ;
y = (a/b)x - (c/b).
There a no. of ways to write the equation of a line; however, the most popular of these ways is the slope-intercept form.
- The slope-intercept form usually takes the form ; y = mx + c.
Therefore, the equation ax-by=c can be rewritten thus;
- ax - c = by
- By divIDing both sides of the equation by b, we have ;
- (a/b)x - (c/b) = y
Consequently, the slope-intercept form of ax-by=c is ;
- y = (a/b)x - (c/b).
- where , (a/b) is the slope(m)
- and (-c/b) is the intercept(c).
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