Question

I have two points. (3,2) and (4,3). My slope is 1 and my y-intercept is -1. How do I convert this information into standard slope form?

Answer 1

Given:

Two points (3, 2), (4, 3).

To find:

The slope-intercept form

Explanation:

Using the two-point formula,

$\frac{y-y_1}{y_2-y_1}=\frac{x-x_1}{x_2-x_1}$

On substitution we get,

$\begin{gathered} \frac{y-2}{3-2}=\frac{x-3}{4-3} \\ \frac{y-2}{1}=\frac{x-3}{1} \\ y=x-3+2 \\ y=x-1 \end{gathered}$

Final answer:

The slope-intercept form is,

$y=x-1$