Question

How do you write this in point-slope and standard form?​

Answer 1

Answer:

Step-by-step explanation:

As we move from the point (2, 4) to the point (3, 6), x increases by 1 and y increases by 2.  Thus the slope of the line connecting these two poins is m = rise/run = 2/1, or just 2.

Use the basic point-slope equation:  y - k = m(x - h).  Substitute 2 for x, 4 for y and 2 for m:

y - 4 = 2(x - 2).  This is the desired equation in point slope form.

To find the equation in standard form, perform the multiplication as follows:

y - 4 = 2x - 4.  We want this to look like Ax + By = C.

Thus, subtract 2x from both sides:        

-2x + y = -4, or

2x - y = 4     This is the desired equation in Standard Form.