Question

Let ax-by=c, where a,b,c>0. Rewrite the equation in slope-intercept form

Answer 1

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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