Question

Find the slope intercept form of the equation of the line that passes through(3,4) and (1,0)

Answer 1

Well, the slope is 2. How? the slope intercept form is y=mx+b.

because m=0-4/3-2 which gives me 2.

So the equation can be y=2x-2.

Hope this helps :^)

Answer 2

Hey there! :) 

We're very simply trying to find the slope-intercept form of an equation of the line that passes through (3, 4) & (1, 0). 

In order to find the equation, we must first know what slope-intercept form is.

Slope-intercept form is : y=mx+b ; where m=slope, b=y-intercept

First, we'd need to find the slope of this line. To find the slope, let's use the slope formula.

Slope formula : m = y₂-y₁ / x₂-x₁

Now, simply plug everything in! 

Remember : we're plugging in (3, 4) & (1, 0).

m = (0 - 4) / (1 - 3)

Simplify.

m = -4 / -2

Simplify.

m = 2

SO, our slope for this equation is 2.

Now that we know the slope, we can very simply find the y-intercept (which is needed for the slope-intercept form) by using the slope-intercept equation.

Let's use these coordinates : (3, 4)

y = mx + b

Plug our known variables in.

(4) = (2)(3) + b

Simplify.

4 = 6 + b

Subtract 6 from both sides.

4 - 6 = b

Simplify.

-2 = b

So, our slope intercept is -2!

Keep in mind that our slope is 2.

So, now that we have those needed variable knowns, we now can plug our slope and y-intercept into our slope-intercept form equation!

y = mx + b

Plug everything in.

y = 2x - 2

So, our answer is : the third choice, which is y=2x - 2

~Hope I helped!~