Chapter 4.1, Problem 1CYU

To determine

To find the equation of line in slope-intercept form.

Answer to Problem 1CYU

  $y=3x-12$

Explanation of Solution

Given:

Line passing through the point $\left(3,-3\right)$ with slope 3.

Concept used:

Equation of a line passing through the point $\left(x_1,y_1\right)$ with slope m is $y-y_1=m\left(x-x_1\right)$ .

Calculation:

Given,

  $m=3,\left(x_1,y_1\right)=\left(3,-3\right)$

Now the equation of the line is,

  $\begin{array}{l}y-y_1=m\left(x-x_1\right)\\ \Rightarrow y-\left(-3\right)=3\left(x-3\right)\\ \Rightarrow y+3=3x-9\\ \Rightarrow y=3x-12\end{array}$