Question

Write the point-slope (y - k = m(x - h)) form of the equation from the information given.

The line goes through the points (6, 5) and (9, 6)
Can someone please help me?

Answer 1

Put above points in eq.
y=mx + c
you will get m and c

Answer 2

where would the points go in the equation? @Pawanyadav

Answer 3

So we have \(\large y - k = m(x - h)\)

We first need to get the slope of the line 'm' in that equation

\[\large m = \frac{y_2 - y_1}{x_2 - x_1}\]

So what would the slope be?

Answer 4

6/9-5/6?

Answer 5

y=mx +c
5=6m+c. first equation
Again,
6=9m+c. 2nd equation
2 equation and 2 variable, I think you can solve these equations

Answer 6

Not quite...just plug it in the formula up there as I have written it

\[\large m = \frac{6-5}{9-6} = \frac{1}{3}\]

So we know the slope 'm' = 1/3 right?

Answer 7

Yes sir

Answer 8

So now that we have 'm' lets rewrite out point slope equation

\[\large y - k = \frac{1}{3}(x - h)\]

Now we simply need to pick a point *either of your points, doesn't matter which one* and plug it in

In your question here, the points are in the form \(\large (h,k)\) so whatever point you pick, the first number will be your 'h' value and the second will be your 'k' value

Answer 9

so it'll look like y-5=1/3(x-6)?

Answer 10

Exactly!

Answer 11

Oh ok!! Awesome thank you soo much!!! You're a great help

Answer 12

No problem :)