1. The coordinates of the point of intersection of the straight lines y=mx+6 and y=2x+c are (-5,1). Find the value of m and c.

ANALYTIC GEOMETRY

1. The coordinates of the point of intersection of the straight lines y=mx+6 and y=2x+c are (-5,1). Find the value of m and c.

2. d₁: 2x+5y+17=0 and d₂: (3k-4)x+10y+26=0 are given. If d₁ and d₂ are parallel, then find k.

5. d₁: 3x+4y+23=0 and d₂: (2a-3)x+8y+37=0 are given. If d₁ and d₂ are parallel, then find a.

6. First, draw the lines and d₂:2x-4y+8=0. Then find the coordinates of the intersection point.

8. Find the slope of a line passing through the points A (-2, -1) and B(3, -3)

9. Find the slope of the line through the following pair of points.

A(-5,4) and B(2,4)

10. Find the slope of the line graphed.

11. Plot points with the following coordinates on the graph below.

13. Find the slope and y intercept of the line given below with its equation. a) b)

14. Find the slope of any line perpendicular to the line through points (0,5) and (-3,-4).

16. Given points A(2, -3), B(0,1), C(3,2)

a) Find the area of ABC

b) |BC|=?

c) slope [AC]=?

d) midpoint of [BC]

e) intersection point of altitudes

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