Question

Write the standard form of the line that passes through the given points. Include your work in your final answer. Type your answer in the box provided to submit your solution. ( 1 , 5 ) and ( − 2 , 3 )

Answer 1

Answer:

y = $\frac{2}{3}$x+$\frac{13}{3}$

Step-by-step explanation:

Okay, the first thing to do here is calculate something known as the "slope".

We know two points are  ( 1 , 5 ) and ( − 2 , 3 )

The slope is represented by "m" in the standard form: y = mx+b

The slope is also known as the rise over the run, y2-y1/x2-x1 = $\frac{3-5}{-2-1}$ = $\frac{2}{3}$

=> the standard form: y = $\frac{2}{3}$x+b

Now we have to use the slope, and resubstitute another point to get b

5 = $\frac{2}{3}$(1) + b

<=> b= 5-$\frac{2}{3}$ = $\frac{13}{3}$

So the equation that model the line is: y = $\frac{2}{3}$x+$\frac{13}{3}$