![[Picture]](main.online-7e348dc31f9d3007f1ea10c0d74e907e.svg)
The slope is
\[ m=\answer {-\frac {2}{3}}. \]
The equation of the line is
\[ y=\answer {-\frac {2}{3}}x+\answer {\frac {11}{3}}. \]
Practice finding slope, equations of lines, and slopes of perpendicular lines.
Find the equation, in slope-intercept form, for the line shown below.
Find the slope of a line perpendicular to the line from the previous problem.
\[ m_{\perp }=\answer {\frac {3}{2}}. \]
Find the equation, in slope-intercept form, for the line through the points \((2,-1)\) and
\((6,5)\).
The slope is
\[ m=\answer {\frac {3}{2}}. \]
The equation of the line is
\[ y=\answer {\frac {3}{2}}x+\answer {-4}. \]
Find the slope of a line perpendicular to this line.
\[ m_{\perp }=\answer {-\frac {2}{3}}. \]