Question

Write two point-slope equations for the line passing through the points (6, 5) and (3, 1). Show your work.

Answer 1

y=-4/3x-3

Explanation:

You look for the slope using the the slope formula (m=y2-y1/x2-x1)

You will end up with (m=1-5/3-6)

Simplify to end up with (-4/3) as your slope.

Then, pick a coordinate point. Your choices are (6,5) and (3,1). You will us it to plug into the equation.

I am picking (3,1) The y-value here is 1 and the x-value is 3.

Your equation to find b, or the y-intercept is going to be (1=-4/3(3)+b)

You will have to simplify.

1=-4/3(3)+b

You will multiply -4/3 and -3 and end up with 4 so it looks like...

1=4+b

You subtract 4 on both sides and then end up with....

-3=b

So, the final answer is: y=-4/3x-3

Answer 2

Answer : y - 5 = 4/3(x - 6), y - 1 = 4/3(x - 3)

Explanation:
Find slope: (6,5) and (3,1) means you rise 4 run 3
And using the formula: y1 - y2 = m(x1- x2)
We get our two equation.