Question

The equation of the line with slope 2 that goes through the point (5,6) can be written in the form y = mx + b, where M = __________ B = _________

Answer 1

Answer: The equation of line is y=2x-4, where, M=2 and B=-4

Explanation: The equation of the line with slope, 'm' and passing through points (x₁, y₁) is represented by the following equation.

y-y₁=m(x-x₁) -------------------------------------- (1)

In the given problem, slope, m=2 and points (x₁, y₁)=(5, 6). So, using eqn 1, we have

y-6=2(x-5)

y-6=2x-10

y=2x-10+6

y=2x-4 ------------------------------------ (2)

This is the required equation of line in the form of y=mx+b, where, m=2 and b=-4.