Help on algebra problem, forgot this over the summer.?

Question

find the equation of the line containing the following points. write the answer in standard form. (2, 6) and (4, 1)

Answer 1

What's da problem.

Answer 2

First find the slope, which is

difference in y

____________

difference in x

So slope = (1-6)/(4-2) = -5/2

Now substitute into y = mx + b with one of the points to solve for b:

6 = (-5/2)2 + b

6 = -5 + b

11 = b

So the equation is y = -5x/2 + 11

Answer 3

Use point/slope formula: y1-y2=m(x1-x2)

slope (Derived from points):-5/2

y-6=-5/2(x-2)

y=-5/2x+11

Answer 4

To do this, you'll need to find the slope first.

Change in Y over change in X.

1-6 = -5, and 4-2 = 2. So your slope is -5/2.

Now, use the point-slope formula, for when you have a point or two on the line and a slope.

y-y1 = m(x+x1)

m meaning slope.

We'll use the first point.

y-6 = -5/2 (x-2)

Distribute the -5/2 and move the -6 to the other side, and you'll get standard form: y=-5/2x + 11.