What is the equation of the line that passes through the point (-5 3 and has a slope of 3,5)

Hi Tah

You have point (3,5) you have slope m = 5/3 if your question is to give the equation of the line that passes through (3,5) with slope m = 5/3 I think I can help if that is your question

Using the Slope Intercept Form

y = mx + b

With the coordinates of the point and the slope you gave

5 = 5/3(3) + b

5 = 5 + b

Subtract 5 from both sides

0 = b

So your line is

y = 5/3x

You can graph your line at Desmos.com to confirm that it passes through the point and see that it does.

If that is not your question, please clarify your question above.

I hope your find this information useful.

Hi, Tah!

So I would begin by using the point slope formula when given a point and slope of a line.

y-y1 = m(x-x1) where m=slope and point (x1,y1)

m=5/3 point:( 3,5)

y-5 = 5/3(x-3) Replaced y1 with 5 and x1 with 3 and

m with 5/3