Question

Write the equation of the line passing through point (3,5) with the slope of 2/3

Answer 1

Answer:

y = 2/3x + 3

Step-by-step explanation:

- First, we need to find the y-intercept of the equation.

y = 2/3x + b

- Plug the x and y values.

5 = 2/3(3) + b

5 = 2 + b

- Subtract 2 from both sides.

3 = b

Answer 2

Answer: y = 2/3x + 3

Step-by-step explanation:

To write the equation in y = mx + b, or slope-intercept form, we first need to find the y-intercept.

To do that, we will need to plug our numbers into y = mx + b. y is the y-coordinate, m is the slope, x is the x-coordinate, and b is the y-intercept.

It should look something like this:

5 = 2/3(3) + b

Now we simplify.

5 = 2 + b

Subtract 2 from both sides.

5 - 2 = 2 - 2 + b

Simplify.

3 = b

Our y-intercept is 3.

Now, we can form our equation

y = 2/3x + 3