1.
m =
y2 - y1
x2 - x1

what is the slope of line segment ef?

a)
1/3

b)
3/2

c)
2/3

d)
3/2

2. find the slope of the line that passes through points a and d.

a)
7/2

b)
2/7

c)
0

d)
2/7

3.
m =
y2 - y1
x2 - x1

what is the slope of line segment jk?

a)
5/9

b)
9/5

c)
5/9

d)
9/5

(4)9.determine the equation of the line given by the graph.

a)
y = 2x + 4

b)
y = 4x + 2

c)
y =
1/2
x − 2

d)
y = −2x + 4

(5)10.triangle abc and triangle cfg are similar right triangles. which proportion can be used to show that the slope of ac is equal to the slope of cg?

a)
0 − 2
3 − 0
=
2 − 6
9 − 3

b)
0 − 2
3 − 0
=
6 − 2
9 − 3

c)
2 − 0
3 − 0
=
6 − 2
9 − 3

d)
3 − 0
2 − 0
=
9 − 3
6 − 2

all the pictures are in order

1). Slope =

2). Slope =

3). Slope =

4). Option A. 2x + 4

5). Option C.

Step-by-step explanation:

1). Slope of a line segment EF with E(-2, -4) and F(2, 2)

Slope m =

m =

m =

2). Slope of a line segment AD with A(-3, -2) and D(4, 0)

Slope m =

m =

3). Slope of a line JK with J(-4, 2) and K(5, -3)

m =

m =

4). We have to determine the equation of the line given by graph.

In other words we have to determine the eequation of a line passing through (0, 4) and (-2, 0)

Equation will be in the form of y = mx + c

Where c = y-intercept = 4 units

Slope m =

Therefore, equation of the line will be y = 2x + 4

Option A. 2x + 4 is the answer.

5). If triangles ABC and CFG are similar then AC and CG will have same slope.

Slope of AC with A(0,0) and C(3, 2) = Slope of CG with C(3, 2) and G(9, 6)

Therefore, Option C. is the correct option.

answer

d. 10

explanation

the distance from point y to wx is the height of the triangle.

using pythagoras theorem,

group similar terms to get,

this implies that,

take positive square root of both sides to get,

this implies that,