unit 3 lesson 7
graphing linear equations
look at the graph
a. triangles ABC and CDE are called _
b. the slope of line AE can be written as _
c. this is a _ relationship
a. triangles ABC and CDE are called congruent triangles
b. the slope of line AE can be written as 0 (horizontal line)
c. this is a non-linear relationship
a. triangles ABC and CDE are called parallel lines.
b. the slope of line AE can be written as (-2/3).
c. this is a linear relationship.
To answer these questions, we need to look at the given graph.
a. From the graph, triangles ABC and CDE are called similar triangles. This is because they have the same shape, but their sizes may be different.
b. To find the slope of line AE, we can use the formula for slope: slope = (change in y)/(change in x). We can choose two points on the line and calculate the slope. Let's choose point A at (2,4) and point E at (6,2).
The change in y is 2 - 4 = -2, and the change in x is 6 - 2 = 4. Therefore, the slope of line AE is (-2)/(4) = -1/2.
c. Based on the given information, we cannot determine the specific type of relationship. Without more context or information, we cannot determine if it is a direct, inverse, or any other type of relationship.