The equation of a line in standard form is given by ;
Ax + By = C where A is the x coordinate value and B is the y i
This is called the slope-intercept form of an equation.
Given the slope m= 2 , a point {3,8} , and another imaginary one {x,y}
The formula is ;
m= change in y coordinate values / change in x-coordinate vales
2 = y-8/x-3 ---------multiply both sides by the denominator {x-3}
2{x-3 } = y-8
2x-6 = y-8 -----collect like terms
2x= y-8 +6
2x = y-2 ------write in the correct form as y= mx + b as;
0=y-2 -2x
y=2x + 2
Write this final equation in standard form of Ax + By= C as
Ax + By= C
y= 2x + 2------- take the values with variables x and y to the left and the constant c to the right as;
y= 2x + 2
-2 = 2x - y
2x - y = -2