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:

were is the equation

let's solve your equation step-by-step.

24−3x=−27

step 1: simplify both sides of the equation.

24−3x=−27

24+−3x=−27

−3x+24=−27

step 2: subtract 24 from both sides.

−3x+24−24=−27−24

−3x=−51

step 3: divide both sides by -3.

−3x

−3

=

−51

−3

x=17

answer:

x=17

step-by-step explanation:

mark brainliest and have a great day!