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

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 \\ $\displaystyle(y2-y1)/(x2-x1)$\end{minipage}}`

`\boxed{\\\begin{minipage}{2cm}$\displaystyle(-31-35)/(-6-5)$ \\ \end{minipage}}`

`\boxed{\\\begin{minipage}{2cm}$\displaystyle(-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 ~