can you please do 17 and 18 ### Mathematics Worksheet: Coordinate Geometry and Equation Solving---#### Distance, Midpoint, and Triangle Properties1. **Find (a) the distance d(P,Q) and (b) the coordinates of the midpoint M of line segment PQ. Write the answer as a simplified radical.** - P(−3, 4) Q(6,−2)2. **Determine whether the three points are vertices of a right triangle.** - P(−4, 3), Q(2, 5), R(1,−6)#### Graphing Linear Equations3. **Graph by plotting points. Use x = 0, 2, −2.** - \( y = \frac{1}{2} x + 3 \)4. **Graph by plotting points. Use x = −2,−1, 2.** - \( y = \sqrt{x + 2} \)#### Function Evaluation5. **Let f(x) = −x² − 3x + 5. Find f(3).**6. **Let g(x) = −2x + 5. Find g(x+3).**#### Writing Equations of LinesFor questions #7–11, write an equation of the line with the given conditions. You may write your answer in \(y = mx + b\) or \(Ax + By = C\) form, or in \(x = a\) or \(y = b\) form, when applicable.7. **Through (−3, 5); Slope = −2.**8. **Through (5, −2); Slope = 0.**9. **Slope = \(\frac{2}{3}\); y-intercept (0,−4).**10. **Undefined slope; Through (5, 2).**11. **Parallel to 2x + 4y= 9; Through (6, 1).**#### Slope and Intercept Identification12. **Find the slope, m, and y-intercept, b, of the following equation: 2x + 3y = 9.**#### Solving EquationsFor questions #13-18, you must solve each equation using the method stated in the problem. Show work to receive credit.13. **Solve the equation by Factoring and the Zero

Name: can you please do 17 and 18 ### Mathematics Worksheet: Coordinate Geom
Uploaded: 2024-03-20T07:07:12.000Z
Channel: Bartleby
Description: can you please do 17 and 18 ### Mathematics Worksheet: Coordinate Geometry and Equation Solving---#### Distance, Midpoint, and Triangle Properties1. **Find (a) the distance d(P,Q) and (b) the coordinates of the midpoint M of line segment PQ. Write th