Question

Need Help Asap). A line goes through the points (8,9) and ( -2,4). A) what is the slope of the line? Show your work. B) Write the equation of the line in point -slope form. Show your work. C) Write the equation of the line in slope-intercept form. Show your work. ( Brainliest Answer and please be honest with your response). Thank You.​

Answer 1

Let's see what to do buddy...

_________________________________

We have following equation for finding the slope of the lines using two points :

$slope = \frac{y(b) - y(a)}{x(b) - x(a)}$

Where a and b are the points which the line through them.

_________________________________

A = ( 8 , 9 )

B = ( -2 , 4 )

Now just put the coordinates in the above equation :

$slope = \frac{4 - 9}{ - 2 - 8} = \frac{ - 5}{ - 10} = \frac{1}{2}$

_________________________________

A)

The answer is :

$slope = \frac{1}{2}$

_________________________________

B)

First we must choose one of the A or B points.

I choose : B = ( -2 , 4 )

We need using the following equation:

$y - y(b) = (slope) \times ( \: x - \: x(b) \: )$

$y - 4 = \frac{1}{2}(x + 2)$

It's the point-slope form of the line..

_________________________________

C)

We just need to simplifies the above equation to find the slope-intercept form.

Look :

$y - 4 = \frac{1}{2}(x + 2)$

$y - 4 = \frac{1}{2}x + 1$

Both sides plus 4

$y = \frac{1}{2}x + 1 + 4$

$y = \frac{1}{2}x + 5$

It's the slope-intercept form of the line.

_________________________________

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️