A line passes through the point (10,6) and has a slope of 3/2

Question

Write an equation in slope intercept form for this line.

Answer 1

The key is to remember that you can substitute the 10 and the 6 for x and y.

Use the equation for a line, y=mx+b

Replace the m with 3/2: y = 3/2x + b

Then replace the y with 6 and the x with 10: 6 = 3/2(10) + b

Now, you solve for b.

6 = 15 + b

-9 = b

Final answer: y = 3/2x - 9

Answer 2

Y=mx+b. You have slope of 3/2 and a point where x=10 and y=6 so

6= 3/2(10)+b

6= 15+b

b=-9

So equation is y= (3/2)x-9