Use the following graph to answer questions 1 and 2.

Question

A grid is shown with line segments.
Three points on a grid are connected by black line segments. The first point is at the lower left corner of the grid. The second point is 2 units up and 3 units right from the first point. The third point is 4 points up and 6 units right from the second point.

A red triangle is created by drawing a segment 3 units right from the first point and then a segment 2 units up to the second point on the black line segment.

The blue triangle is with a segment that goes up 4 units from the second point and then 6 units right to the third point on the black line segment.

Write a ratio in simplified form of the vertical length to the horizontal length for the red triangle.
(1 point)
Responses

2 : 3
2 : 3

3 : 2
3 : 2

1 : 1
1 : 1

none of the above

Answer 1

The ratio of the vertical length to the horizontal length for the red triangle is 2 : 3.

Answer 2

How does the slope of the red triangle compare to the slope of the blue triangle?
(1 point)
Responses

The slope of the blue triangle is twice the slope of the red triangle.
The slope of the blue triangle is twice the slope of the red triangle.

The slope of the red triangle is steeper than the slope of the blue triangle.
The slope of the red triangle is steeper than the slope of the blue triangle.

The slopes of the two triangles are the same.
The slopes of the two triangles are the same.

The slope of the red triangle is half the slope of the blue triangle.

Answer 3

The slope of the red triangle is half the slope of the blue triangle.

Answer 4

Would a triangle with a vertical length of 6 and a horizontal length of 10 have the same slope as the blue and red triangles shown in the graph?
(1 point)
Responses

Yes, the slopes would be the same.
Yes, the slopes would be the same.

No, the slope of the new triangle would be 2 : 4.
No, the slope of the new triangle would be 2 : 4.

No, the slope of the new triangle would be 2 : 5.
No, the slope of the new triangle would be 2 : 5.

No, the slope of the new triangle would be 3 : 5.

Answer 5

No, the slope of the new triangle would be 3:5.

Answer 6

Find the slope of the line.

A line is shown on a coordinate graph. The line passes through th
e points with coordinates 2 comma negative 3 and coordinates 4 comma 4.
(1 point)
Responses

–two-sevenths
– Image with alt text: two-sevenths

–start fraction 7 over 2 end fraction
– Image with alt text: start fraction 7 over 2 end fraction

two-sevenths
Image with alt text: two-sevenths

start fraction 7 over 2 end fraction

Answer 7

The slope of the line passing through the points (2, -3) and (4, 4) is -seven-halves or -7/2.