Question

write an equation of the line in slope-intercept form (3,1) (0,-2)

Answer 1

Given:

The points (3, 1) and (0, -2).

To find: The slope-intercept form of the line

Explanation:

Using the two-point formula,

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

Here, we have

$\begin{gathered} x_1=3,y_1=1 \\ x_2=0,y_2=-2 \end{gathered}$

Substituting and solving we get,

$\begin{gathered} \frac{y-1}{-2-1}=\frac{x-3}{0-3} \\ \frac{y-1}{-3}=\frac{x-3}{-3} \\ y-1=x-3 \\ y=x-3+1 \\ y=x-2 \end{gathered}$

Final answer:

The slope-intercept form of the line is,

$y=x-2$