Question 903195
The standard form of a linear equation is

Ax + By = C

To find out what the equation looks like, we would first have to find the slope.
 The formula for slope is  y2 - y1 / x2 -x1

We will designate, from the points given  x1 =6  y1= 1
                                          x2 =5  y2= 4

So, slope is 4-1/5-6 = 3/-1 = -3

We would need to write the equation in slope-intercept form first: y=mx+b

To do that , we would need to find the y intercept , b . We will use the slope and one point . You can pick either (6,1) or (5,4)

We will use (6,1)

y= mx+ b
y= -3x + b
1= -3*6 + b
1= -18 +b
19= b

So, the slope intercept form would be  y= -3x + 19

To change this to standard form  :

y = -3x +19 
 3x+y = 19 

To check , just plug in both (6,1) and (5,4) into the equation.

3x + y = 19
3(6) + 1 = 19 

3x +y = 19
3 (5) + 4 = 19



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