Question

Write the equation of the line that passes through the points (2,5) and (3, 10)

Answer 1

y = 5x-5

Explanation:

First find the slope

m = ( y2-y1)/(x2-x1)

= ( 10-5)/(3-2)

= 5/1

=5

Using slope intercept form

y = mx+b

y = 5x+b

Substituting a point into the equation

5 = 5*2+b

5 = 10+b

Solving for b

5-10 = b

-5 =b

y = 5x-5