Question

1. Show your work algebraically for full credit. Circle your answer (8 points - from lesson 3.04)

Answer 1

The required equation of the line is  $3x-4y=6$

What is an equation?

An equation is a formula in mathematics that expresses the equivalence of two expressions by linking them with the equals symbol =. The word equation and its cognates in various languages may have somewhat different definitions; for example, in French, an équation is defined as including one or more variables, but in English, an equation is any well-formed formula consisting of two expressions linked by an equals sign.

Slope of the line, m is  

$=\frac{x_{2}-x_{1} }{y_{2} -y_{1} }$  $=\frac{3-(-3)}{6-(-2)}$ $=\frac{6}{8}$ $=\frac{3}{4}$

then, the equation of the line is given by

   $y-y_{1}=m(x-x_{1} )$

$or, y-3=\frac{3}{4} (x-6)$

$or, 4y-12=3x-18$

$or, 3x-4y=6$

Hence, the required equation of the line is  $3x-4y=6$

To know more about equations, click on the link

brainly.com/question/28196676

#SPJ1