What is the equation of the line that passes through the point (1, 3) and is perpendicular to the line 2x+3y=15?

Step-by-step explanation:

first let's convert the equation to y=2/3x+5

since the line is perpendicular we know that m=-3/2=1.5. now we just need to plug these numbers into an equation.

3=(-1.5)1+b

multiply.

3=-1.5+b

now add 1.5 to both sides of the equation.

4.5=b

change that into a fraction.

9/2.

now using 9/2 as b and -3/2 as m we have our equation: