Write the standard form of the line that passes through the given points (1, 1) and (3, 4)

Question

3mar · Answer

May I help?

madeleine2 · Answer

sure

563blackghost · Answer

Find the slope of the points.

$\huge\bf{\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \rightarrow \frac{4-1}{3-1}=\color{red}{?}}$

madeleine2 · Answer

3/2=1.5

3mar · Answer

I was busy.
Sorry!

3mar · Answer

With @563blackghost , you are in good hands!

563blackghost · Answer

Correct now we must determine the y-intercept. So we would plug this into slope-intercept form and plug one point into the equation to find `b`.

$\huge\bf{1=\frac{3}{2}(1)+b}$

Simplify to find b.

3mar · Answer

@madeleine2


Do you follow?

563blackghost · Answer

`1 by 3/2 = 3/2`

$\huge\bf{1=\frac{3}{2}+b}$

Now subtract 1 and 3/2.

$\huge\bf{-\frac{1}{2}=b}$

So we plug this into slope-intercept form.

$\huge\bf{y=\frac{3}{2}x-\frac{1}{2}}$

We now would turn this into standard form. First we must rid of the fraction in order to do that we would multiply by the least common denominator. So in this case 2.

$\huge\bf{2y=2(\frac{3}{2}x-\frac{1}{2})}$
$\huge\bf\color{orange}{2y=3x-1}$

Next subtract 3x from each side. What is your standard form equation? @madeleine2

563blackghost · Answer

Can you please cooperate @madeleine2 ?

3mar · Answer

Nice presentation!
Thank you for good explanation & illustration.

563blackghost · Answer

Thank you 3mar :)

3mar · Answer

You are welcome, BEST SISTER & BEST TEACHER!