Question

in a certain linear equation, the rate of change of y with respect to x is two. write the equation if the coordinate (0,1) is a solution.

Answer 1

Answer:

$y=2x+1$

Step-by-step explanation:

Let the linear equation be $y=mx +b$.

The slope of a linear equation is the same as the rate of change of that linear linear equation.

The rate of change of y with respect to x is given in the question as 2.

$\implies m=2$

We substitute this slope to obtain the partial equation;

$y=2x+b$

If the coordinate (0,1) is a solution, then it must satisfy this equation.

$\implies 1=2(0)+b$

$\implies 1=b$

The required equation is:

$y=2x+1$