Question

A

Answer 1

Answer:

y=2/3x

Step-by-step explanation:

Hi there!

We want to find the equation of the line that passes through the point (3,2) and has a slope of 2/3

We can write the equation of the line in slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept

Since we are already given the slope, we can substitute it into the equation as m

y=2/3x+b

Now we need to find b

Since the equation passes through the point (3,2), we can plug its values into the equation to solve for b

Substitute 3 as x and 2 as y into the equation:

2=2/3(3)+b

Multiply

2=2+b

Subtract 2 from both sides

0=b

Substitute 0 as b into the equation

y=2/3x+0

Simplify:

y=2/3x

Hope this helps!