# Anyone know this? Relevance
• this picture should help • Ax + By = C

By = - Ax + C

y = - A/Bx + C/B

The slope of the line is: -A/B

The y-intercept of the line is C/B..//

• The "slope-intercept" format, for a linear equation, looks like this:

y = mx + c

where m and c are numbers, and where

m is the slope of the line (how fast y rises, when x rises by 1), and

c is the intercept (the value of y, when x=0)

Begin with the original equation and move stuff around (legally):

Ax + By = C

subtract Ax from both sides (same as moving Ax across the equal sign)

By = -Ax + C

divide both sides by B (this is allowed, since we are told that B is not zero)

y = (-Ax + C)/B

distribute the division

y = (-A/B)x + (C/B)

The coefficient of x is your slope

The constant term is your intercept

• You have to change the equation into y = mx + b form.

The coefficient m is the slope.

The b is the the y-intercept

• Anonymous
12 months ago

Ax + By = C

Subtract Ax from both sides

By = -Ax + C

Divide by B

y = ?

It is now in the form y=mx + b, (m is slope, b is intercept)

Source(s): Blessed enough to go to school