How do you write an equation in standard form for the line through (1,3) and (-10,6)?
Start by determining the slope of the line through the given points;
then write the equation for the line in point-slope form;
finally convert to standard form.
The slope of a line is determined by the difference between 2 y-coordinate values divided by the difference between 2 corresponding x-coordinate values.
Given the points
The point-slope form for a line with slope
For the given values this becomes
Standard Form for Linear Equation
The standard form for a linear equation is
(...and our work here is done)