Question

Find the point-slope equation for the line that passes through the points (5, 35) and (-6, -31). Use the first point in your equation..​

Answer 1

Answer:

Maya, this is such a common question on here,  so i'm very interested in what's difficult about this problem for you.  Please comment about this. Below is the answer and how to find it.

Step-by-step explanation:

point P1 (5,35)  in the form (x1,y1)

point P2(-6,-31)  in the form (x2,y2)

slope = m

m = (y2-y1) / (x2-x1)

m = (-31-35) / (-6-5)

m = -66 / -11

they made it easy for you , huh

m = 6

use point / slope fomula,   y-y1 = m(x-x1)  and plug in one point,  either would work,  since i've already labeled it with point P1,  let's use that point

y-35 = 6(x-5)

y-35 = 6x-30

y = 6x - 30 + 35

y = 6x + 5

Maya, this really is a very common question on here,  I really am curious about what's tricky in the problem for you and many many others.  please let me know in comments section,  thanks  MMM

Answer 2

Given ↓

• 2 points that a line passes through

To Find ↓

• The point-slope equation for the line

Calculations ↓

First of all, we need to find the slope. In order to find the slope, we'll use the following formula :

$\boxed{\\\begin{minipage}{2cm}slope \\ \displaystyle\frac{y2-y1}{x2-x1} \end{minipage}}$

$\boxed{\\\begin{minipage}{2cm} \displaystyle\frac{-31-35}{-6-5} \\ \end{minipage}}$

$\boxed{\\\begin{minipage}{2cm} \displaystyle\frac{-77}{-11} \\ \end{minipage}}$

Which simplifies to :

$\text{Slope = 7 }$

Now that we know the slope, finding the point-slope equation is a piece of cake.

Remember Point-Slope :

$\text{y - y1 = m(x-x1)}$

We're told to use the first point (5, 35) in our equation, so we'll do just that.

$\LARGE\text{y - 35=7(x-5)}$

$\mathsf{equation\:above}$

hope helpful ~