Question

Find the equation of the line that satisfies the given conditions.(Lesson 1.10)

Slope 3; y-intercept; $-2$

Short answer

Equation of the line is $3x-y-2=0$.

Step-by-step solution

Step 1. Definition of slope-intercept form.

Slope-intercept is the equation of a straight line in the form $y=mx+b$where m is the slope of the line and b is its y-intercept.

Step 2. Plug the value in the equation in a general form.

Use the slope-intercept form to write the equation of the line with $m=3$and

$b=-2$:

$\begin{array}{l}y=mx+b\\ y=3\cdot x+(-2)\end{array}$

Step 3. Calculate the equation of the line in standard form.

$\begin{array}{l}y=3x-2\\ -3x+y+2=0\\ 3x-y-2=0\end{array}$