Question

Help with EQUATIONS FOR FAN + MEDAL!!!


Write the equation in point-slope form of the line that passes through (3, -5) and (2,3). Use the point (3,-5) in your equation.

Answer 1

You have to:
1) find the slope.
2) find the equation of the line.
\(\scriptsize\color{ slate }{\scriptsize{\bbox[5pt, royalblue ,border:2px solid royalblue ]{~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ }}}\)

Formula for slope: \(\large\color{black}{ \frac{\LARGE y_{_1}~-~y_{_2} }{\LARGE x_{_1}~-~x_{_2} } }\) where the points are: \(\large\color{slate}{ (x_{_1}~,~y_{_1}) }\) & \(\large\color{slate}{ (x_{_2}~,~y_{_2}) }\)
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Point slope formula: \(\large\color{slate}{ y-y_{_1} =m(x-x_{_1} ) }\)

where \(\large\color{slate}{ (x_{_1}~,~y_{_1} ) }\) is (on of the) point(s), and \(\large\color{slate}{ m }\) is the slope.