# Geometry equations and lines need help?

1) Indicate in standard form the equation of the line passing through the given points.

A(4, 1), B(5, 2)

2) Indicate in standard form the equation of the line passing through the given point and having the given slope.

A(5, 5), m = 3

3) Indicate in standard form the equation of the line passing through the given point and having the given slope.

E(3, 5), m = no slope

4) Indicate in standard form the equation of the line passing through the given point and having the given slope.

D(5, -2) m = 2/5

5)Indicate in standard form the equation of the line passing through the given point and having the given slope.

B(6, 2), m = -1/2

6)Indicate in standard form the equation of the line passing through the given points.

M(0, 6), N(6, 0)

7) Indicate in standard form the equation of the line passing through the given points.

E(-2, 2), F(5, 1)

8) Indicate in standard form the equation of the line passing through the given points.

X(0, 6), Y(5, 6)

9) Indicate in standard form the equation of the line passing through the given points.

R(3, 3), S(-6, -6)

10) Indicate in standard form the equation of the line passing through the given points.

L(5, 0), M(0, 5)

11) Indicate in standard form the equation of the line passing through the given points.

P(6, 2), Q(8, -4)

12) Indicate in standard form the equation of the line passing through the given points.

B(0, 0), C(4, -4)

13) Indicate in standard form the equation of the line passing through the given points.

G(4, 6), H(1, 5)

14) Indicate in standard form the equation of the line passing through the given point and having the given slope.

C(0, 4), m = 0

15) Indicate the equation of the given line in standard form.

The line containing the hypotenuse of right triangle ABC where A(-5, 5), B(1, 1), and C(3, 4) are the vertices.

16)Indicate the equation of the given line in standard form.

The line containing the diagonal of a square whose vertices are A(-3, 3), B(3, 3), C(3, -3), and D(-3, -3). Find two equations, one for each diagonal.

1) Indicate in standard form the equation of the line passing

through the given points. A(4, 1), B(5, 2)

Slope, m = (2 -1) / (5 -4) = 1

The line is : y = x + c

The line passing passing the point (5, 2), we get,

2 = 5 + c ==> c = 2 -5 = -3

The required equation is ;

y = x - 3 <===================> ANSWER

2)

Indicate in standard form the equation of the line passing through

the given point A(5, 5), and having the given slope, m = 3

Here, we have,

y = 3x + c

To find c, the poin A(5, 5) is on the line, SO

5 = 3*5 + c ==> c = 5 -15 = -10

The required line is :

y = 3x - 10 <=======================> ANSWER

3)

Indicate in standard form the equation of the line passing through

the given point E(3, 5), and having slope, m = no slope = 0

The line is :

. . . y = x(0) + c ==> y = c

For c, the point E(3, 5) is on the line, therefor,

5 = c, Hence the line is :