For #1-3, use \(ΔCOM\) where \(C:(-2, 4)\) \(O:(4, 1)\) and \(M:(7, -3)\).
1) Write the equation of the perpendicular bisector of \(\overline{CO}\) in Standard Form.
2) Write the equation of a line parallel to \(\overline{CO}\) that goes through point \(M\) in Point-Slope Form.
3) Write the equation of an altitude through point C to \(\overline{OM}\) in Slope-Intercept Form.
4) Write the equation of a line parallel to line \(\overleftrightarrow{AB}\) and passing through point \(P\) in Standard Form.
1) Write the equation of the perpendicular bisector of \(\overline{CO}\) in Standard Form.
2) Write the equation of a line parallel to \(\overline{CO}\) that goes through point \(M\) in Point-Slope Form.
3) Write the equation of an altitude through point C to \(\overline{OM}\) in Slope-Intercept Form.
4) Write the equation of a line parallel to line \(\overleftrightarrow{AB}\) and passing through point \(P\) in Standard Form.
5) Write the equation of a line perpendicular to line \(\overline{AB}\) and passing through point \(P\) in Slope-Intercept Form.
6) ”Determine if the lines are parallel, perpendicular, or neither. Explain your reasoning.
line a: \(y=5x-7\)
line b: \(x+5y=-2\)
line c: \(5\left( x+4 \right)=y-1\)
7) Find the value(s) of \(k\) so that the lines described by \(3x-4y=12\) and \(kx+5y=20\) are parallel.
8) Jane wants to sell her Subaru Forester, but doesn’t know what the listing price should be. She checks on craigslist.com and finds 22 Subarus listed. The table in Desmos below shows age (in years) \((x_1)\), mileage (in miles) \((x_2)\), and listed price (in dollars) \((y_1)\) for these \(22\) Subarus. (Collected on June 6th, 2012 for the San Francisco Bay Area.) The best fit lines are also calculated (scroll past the data in Desmos to find these equations). Jane has had her Subaru for \(9\) years and it has \(95000\) miles on it. How much should she sell her Subaru for? Explain your reasoning.(Adapted from Illustrative Mathematics Task).
10) Line \(\mathcal{l} \) is parallel to the line defined by \( \dfrac{x}{2} + \dfrac{y}{3} =1 \) and passes through the point \( (2, -5) \). Write the equation of \( \mathcal{l} \) in standard form.