Y Coordinate? Help!?

Question

The line of an euation with a as lope of 2/3 goes through the point (3,5). What is the y coordinate of the pont the line that goes thru when x=6?

Answer 1

the slop is the tan of the angle = 2/3

that slop is the same slop from the point (3.5) to the point (6.Y)

x axis deference is 6-3 =3

Y axis is      equal to 5 + y

then slop 2/3 = y/3

y = 2

Y coordinate is y+5 =2+5 = 7

Answer 2

Use the equation: y = Mx + b

M (slope) = 2/3

We can put that in, so: y = 2/3x + b

When x = 3, y = 5, as shown by your point (3,5)

5 = (2/3)(3) + b

Solving for b:

5 = 2 + b

b = 3

Therefore the equation is:

y = 2/3x + 3

When x = 6

y = (2/3)(6) + 3

y = 4 + 3

y = 7