# How do you write the standard form of a line given (1, 3) and (4, 4)?

##### 1 Answer

#### Explanation:

First, let’s clarify the line definitions.

*Slope Intercept Form*: y = mx + b

*Point Slope Form:*

**Standard Form: Ax + By = C** ; A must be positive, A, B & C are integers, the coefficient of x is NOT equal to the slope! -A/B = slope; C/B = y-intercept; C/A = x-intercept

First find the slope from the given points.

From this we can set A = -1 and B = 3. -x + 3y = C To find C we will need to solve the slope-intercept form for b.

This can now be rearranged into the desired “Standard Form”:

CHECK: