Indicate in standard form the equation of the line passing through the given points.

A(4, 1), B(5, 2)

Question

Indicate in standard form the equation of the line passing through the given points.

A(4, 1), B(5, 2)

anonymous · Answer

@DisplayError

displayerror · Answer

We can calculate the slope of the line since we are given two points
$$\text{Slope} = m = \frac{y_2 - y_1}{x_2 - x_1}$$
Because we now have a slope and a point, we can use the point-slope form of a line:
$$y - y_1 = m(x - x_1)$$
^ Just plug in the slope that you calculated and a point (either (4,1) or (5,2) will work).

From that, rearrange your equation such that it is in the form
$$Ax + By = C$$
such that A is a positive integer and B and C are integers.

anonymous · Answer

which is y?

displayerror · Answer

You only plug in for y_1 and x_1. y and x are the y and x in the standard form equation.

anonymous · Answer

could u give me the formula with the equations plugged in?

anonymous · Answer

@DisplayError

displayerror · Answer

What is your point (x_1, y_1) and your slope m? I'll plug what you give me into the point-slope equation.

anonymous · Answer

thnx