m=3 , (0,-2)

Use the formula for the equation of a line to find b.

y=mx+b

Substitute the value of m into the equation.

y=(3)⋅x+b

Substitute the value of x into the equation.

y=(3)⋅(0)+b

Substitute the value of y into the equation.

-2=(3)⋅(0)+b

Find the value of b.

Rewrite the equation as (3)⋅(0)+b=-2.

(3)⋅(0)+b=-2

Simplify (3)⋅(0)+b.

Multiply 3 by 0.

0+b=-2

Add 0 and b.

b=-2

b=-2

b=-2

b=-2

Now that the values of m (slope) and b (y-intercept) are known, substitute them into y=mx+b to find the equation of the line.

y=3x-2

Find the Equation Using Slope-Intercept Form m=3 , (0,-2)