# algebra

posted by
**jasmine** on
.

how would i find an equation of a line that goes through points(1,6) and (3,10)??

thanks

A straight line is

y=mx+b

Substitute the points to make two equations.

6=m(1)+b

10=m(3)+b

Two equations; two unknowns, m and b.

Solve for m and b, then plug back into y = mx + b. That will the the equation for the straight line.

i don't understand?

You know how to solve two equations simultaneously. There are two unknowns, m and b. Solve them for m and b, list the values here and I will show you how to construct the equation for the line. Here are the two equations from above.

eqn 1: **6=m(1)+b**

eqn 2: **10=m(3)+b**

To start you in the right directin, here is what you do to solve the equations.

1. Multiply eqn 1 by -1

2. Add the result + eqn 2.

3. That will eliminate b. solve for m.

4. Plug m back into either equation and solve for b.

5. Post values for m and b and I shall show you how to write the equation for the line that passes through those points.

P=H-F/2H TO SOLVE FOR H