Question

A linear relationship with a slope of 2 and a
y-intercept of 3​

Answer 1

Answer:

The linear relationship is represented by $\blue{\tt{ y = 2x + 3.}}$

Step-by-step explanation:

We are given a y-intercept of an equation as well as a slope:

$\rightsquigarrow$ slope = 2

$\rightsquigarrow$ y-intercept = 3

We can use this information and substitute it into the slope-intercept form equation to get our linear relationship:

$\rightsquigarrow$ y = mx + b

In this formula, m is our slope and b is our y-intercept.

Therefore:

$\rightsquigarrow$ m = 2

$\rightsquigarrow$ b = 3

Finally, let us substitute these into the equation:

$\bold{y = 2x + 3}$

This is our final equation.